calculator sequence inspired by my calendar

jos koot jos.koot at telefonica.net
Thu Dec 21 00:27:15 CET 2006


Here are some solutions:
Greetings, Jos Koot
mabel 12, zane 21
mabel 15, zane 51
mabel 16, zane 91
mabel 18, zane 81
mabel 19, zane 61
mabel 25, zane 52
mabel 26, zane 92
mabel 28, zane 82
mabel 29, zane 62
mabel 56, zane 95
mabel 58, zane 85
mabel 59, zane 65
mabel 66, zane 99
mabel 68, zane 89
mabel 86, zane 98
mabel 102, zane 201
mabel 105, zane 501
mabel 106, zane 901
mabel 108, zane 801
mabel 109, zane 601
mabel 112, zane 211
mabel 115, zane 511
mabel 116, zane 911
mabel 118, zane 811
mabel 119, zane 611
mabel 122, zane 221
mabel 125, zane 521
mabel 126, zane 921
mabel 128, zane 821
mabel 129, zane 621
mabel 152, zane 251
mabel 155, zane 551
mabel 156, zane 951
mabel 158, zane 851
mabel 159, zane 651
mabel 161, zane 191
mabel 162, zane 291
mabel 165, zane 591
mabel 166, zane 991
mabel 168, zane 891
mabel 169, zane 691
mabel 182, zane 281
mabel 185, zane 581
mabel 186, zane 981
mabel 188, zane 881
mabel 189, zane 681
mabel 192, zane 261
mabel 195, zane 561
mabel 196, zane 961
mabel 198, zane 861
mabel 199, zane 661
mabel 205, zane 502
mabel 206, zane 902
mabel 208, zane 802
mabel 209, zane 602
mabel 215, zane 512
mabel 216, zane 912
mabel 218, zane 812
mabel 219, zane 612
mabel 225, zane 522
mabel 226, zane 922
mabel 228, zane 822
mabel 229, zane 622
mabel 255, zane 552
mabel 256, zane 952
mabel 258, zane 852
mabel 259, zane 652
mabel 262, zane 292
mabel 265, zane 592
mabel 266, zane 992
mabel 268, zane 892
mabel 269, zane 692
mabel 285, zane 582
mabel 286, zane 982
mabel 288, zane 882
mabel 289, zane 682
mabel 295, zane 562
mabel 296, zane 962
mabel 298, zane 862
mabel 299, zane 662
mabel 506, zane 905
mabel 508, zane 805
mabel 509, zane 605
mabel 516, zane 915
mabel 518, zane 815
mabel 519, zane 615
mabel 526, zane 925
mabel 528, zane 825
mabel 529, zane 625
mabel 556, zane 955
mabel 558, zane 855
mabel 559, zane 655
mabel 565, zane 595
mabel 566, zane 995
mabel 568, zane 895
mabel 569, zane 695
mabel 586, zane 985
mabel 588, zane 885
mabel 589, zane 685
mabel 596, zane 965
mabel 598, zane 865
mabel 599, zane 665
mabel 606, zane 909
mabel 608, zane 809
mabel 616, zane 919
mabel 618, zane 819
mabel 626, zane 929
mabel 628, zane 829
mabel 656, zane 959
mabel 658, zane 859
mabel 666, zane 999
mabel 668, zane 899
mabel 669, zane 699
mabel 686, zane 989
mabel 688, zane 889
mabel 696, zane 969
mabel 698, zane 869
mabel 806, zane 908
mabel 816, zane 918
mabel 826, zane 928
mabel 856, zane 958
mabel 866, zane 998
mabel 868, zane 898
mabel 886, zane 988
mabel 896, zane 968
mabel 966, zane 996
mabel 1002, zane 2001
mabel 1005, zane 5001
mabel 1006, zane 9001
mabel 1008, zane 8001
mabel 1009, zane 6001
mabel 1011, zane 1101
mabel 1012, zane 2101
mabel 1015, zane 5101
mabel 1016, zane 9101
mabel 1018, zane 8101
mabel 1019, zane 6101
mabel 1021, zane 1201
mabel 1022, zane 2201
mabel 1025, zane 5201
mabel 1026, zane 9201
mabel 1028, zane 8201
mabel 1029, zane 6201
mabel 1051, zane 1501
mabel 1052, zane 2501
mabel 1055, zane 5501
mabel 1056, zane 9501
mabel 1058, zane 8501
mabel 1059, zane 6501
mabel 1061, zane 1901
mabel 1062, zane 2901
mabel 1065, zane 5901
mabel 1066, zane 9901
mabel 1068, zane 8901
mabel 1069, zane 6901
mabel 1081, zane 1801
mabel 1082, zane 2801
mabel 1085, zane 5801
mabel 1086, zane 9801
mabel 1088, zane 8801
mabel 1089, zane 6801
mabel 1091, zane 1601
mabel 1092, zane 2601
mabel 1095, zane 5601
mabel 1096, zane 9601
mabel 1098, zane 8601
mabel 1099, zane 6601
mabel 1102, zane 2011
mabel 1105, zane 5011
mabel 1106, zane 9011
mabel 1108, zane 8011
mabel 1109, zane 6011
mabel 1112, zane 2111
mabel 1115, zane 5111
mabel 1116, zane 9111
mabel 1118, zane 8111
mabel 1119, zane 6111
mabel 1121, zane 1211
mabel 1122, zane 2211
mabel 1125, zane 5211
mabel 1126, zane 9211
mabel 1128, zane 8211
mabel 1129, zane 6211
mabel 1151, zane 1511
mabel 1152, zane 2511
mabel 1155, zane 5511
mabel 1156, zane 9511
mabel 1158, zane 8511
mabel 1159, zane 6511
mabel 1161, zane 1911
mabel 1162, zane 2911
mabel 1165, zane 5911
mabel 1166, zane 9911
mabel 1168, zane 8911
mabel 1169, zane 6911
mabel 1181, zane 1811
mabel 1182, zane 2811
mabel 1185, zane 5811
mabel 1186, zane 9811
mabel 1188, zane 8811
mabel 1189, zane 6811
mabel 1191, zane 1611
mabel 1192, zane 2611
mabel 1195, zane 5611
mabel 1196, zane 9611
mabel 1198, zane 8611
mabel 1199, zane 6611
mabel 1202, zane 2021
mabel 1205, zane 5021
mabel 1206, zane 9021
mabel 1208, zane 8021
mabel 1209, zane 6021
mabel 1212, zane 2121
mabel 1215, zane 5121
mabel 1216, zane 9121
mabel 1218, zane 8121
mabel 1219, zane 6121
mabel 1222, zane 2221
mabel 1225, zane 5221
mabel 1226, zane 9221
mabel 1228, zane 8221
mabel 1229, zane 6221
mabel 1251, zane 1521
mabel 1252, zane 2521
mabel 1255, zane 5521
mabel 1256, zane 9521
mabel 1258, zane 8521
mabel 1259, zane 6521
mabel 1261, zane 1921
mabel 1262, zane 2921
mabel 1265, zane 5921
mabel 1266, zane 9921
mabel 1268, zane 8921
mabel 1269, zane 6921
mabel 1281, zane 1821
mabel 1282, zane 2821
mabel 1285, zane 5821
mabel 1286, zane 9821
mabel 1288, zane 8821
mabel 1289, zane 6821
mabel 1291, zane 1621
mabel 1292, zane 2621
mabel 1295, zane 5621
mabel 1296, zane 9621
mabel 1298, zane 8621
mabel 1299, zane 6621
mabel 1502, zane 2051
mabel 1505, zane 5051
mabel 1506, zane 9051
mabel 1508, zane 8051
mabel 1509, zane 6051
mabel 1512, zane 2151
mabel 1515, zane 5151
mabel 1516, zane 9151
mabel 1518, zane 8151
mabel 1519, zane 6151
mabel 1522, zane 2251
mabel 1525, zane 5251
mabel 1526, zane 9251
mabel 1528, zane 8251
mabel 1529, zane 6251
mabel 1552, zane 2551
mabel 1555, zane 5551
mabel 1556, zane 9551
mabel 1558, zane 8551
mabel 1559, zane 6551
mabel 1561, zane 1951
mabel 1562, zane 2951
mabel 1565, zane 5951
mabel 1566, zane 9951
mabel 1568, zane 8951
mabel 1569, zane 6951
mabel 1581, zane 1851
mabel 1582, zane 2851
mabel 1585, zane 5851
mabel 1586, zane 9851
mabel 1588, zane 8851
mabel 1589, zane 6851
mabel 1591, zane 1651
mabel 1592, zane 2651
mabel 1595, zane 5651
mabel 1596, zane 9651
mabel 1598, zane 8651
mabel 1599, zane 6651
mabel 1602, zane 2091
mabel 1605, zane 5091
mabel 1606, zane 9091
mabel 1608, zane 8091
mabel 1609, zane 6091
mabel 1612, zane 2191
mabel 1615, zane 5191
mabel 1616, zane 9191
mabel 1618, zane 8191
mabel 1619, zane 6191
mabel 1622, zane 2291
mabel 1625, zane 5291
mabel 1626, zane 9291
mabel 1628, zane 8291
mabel 1629, zane 6291
mabel 1652, zane 2591
mabel 1655, zane 5591
mabel 1656, zane 9591
mabel 1658, zane 8591
mabel 1659, zane 6591
mabel 1661, zane 1991
mabel 1662, zane 2991
mabel 1665, zane 5991
mabel 1666, zane 9991
mabel 1668, zane 8991
mabel 1669, zane 6991
mabel 1681, zane 1891
mabel 1682, zane 2891
mabel 1685, zane 5891
mabel 1686, zane 9891
mabel 1688, zane 8891
mabel 1689, zane 6891
mabel 1692, zane 2691
mabel 1695, zane 5691
mabel 1696, zane 9691
mabel 1698, zane 8691
mabel 1699, zane 6691
mabel 1802, zane 2081
mabel 1805, zane 5081
mabel 1806, zane 9081
mabel 1808, zane 8081
mabel 1809, zane 6081
mabel 1812, zane 2181
mabel 1815, zane 5181
mabel 1816, zane 9181
mabel 1818, zane 8181
mabel 1819, zane 6181
mabel 1822, zane 2281
mabel 1825, zane 5281
mabel 1826, zane 9281
mabel 1828, zane 8281
mabel 1829, zane 6281
mabel 1852, zane 2581
mabel 1855, zane 5581
mabel 1856, zane 9581
mabel 1858, zane 8581
mabel 1859, zane 6581
mabel 1861, zane 1981
mabel 1862, zane 2981
mabel 1865, zane 5981
mabel 1866, zane 9981
mabel 1868, zane 8981
mabel 1869, zane 6981
mabel 1882, zane 2881
mabel 1885, zane 5881
mabel 1886, zane 9881
mabel 1888, zane 8881
mabel 1889, zane 6881
mabel 1892, zane 2681
mabel 1895, zane 5681
mabel 1896, zane 9681
mabel 1898, zane 8681
mabel 1899, zane 6681
mabel 1902, zane 2061
mabel 1905, zane 5061
mabel 1906, zane 9061
mabel 1908, zane 8061
mabel 1909, zane 6061
mabel 1912, zane 2161
mabel 1915, zane 5161
mabel 1916, zane 9161
mabel 1918, zane 8161
mabel 1919, zane 6161
mabel 1922, zane 2261
mabel 1925, zane 5261
mabel 1926, zane 9261
mabel 1928, zane 8261
mabel 1929, zane 6261
mabel 1952, zane 2561
mabel 1955, zane 5561
mabel 1956, zane 9561
mabel 1958, zane 8561
mabel 1959, zane 6561
mabel 1962, zane 2961
mabel 1965, zane 5961
mabel 1966, zane 9961
mabel 1968, zane 8961
mabel 1969, zane 6961
mabel 1982, zane 2861
no. it won't stop
  ----- Original Message ----- 
  From: Tanya Khovanova 
  To: seqfan at ext.jussieu.fr 
  Sent: Wednesday, December 20, 2006 11:36 PM
  Subject: calculator sequence inspired by my calendar


  Hello all,

  In my today's page-a-day calendar, I've got the following problem:

  Zane is at least a year older than Mabel, and both are at least 10 years old. If you write their ages on a calculator, one age is the same as the other age turned upside down. If the difference between their ages is as small as possible, how old is Zane?

  So, I suggest the sequence of numbers that can be represented as a  differences between a number on a calculator and the same number upside down. It is obvious that all these numbers are divisible by 3. 

  I am not sure how to write a program calculating them. Here is a sample:
  0 (1-1), 3 (9-6), 6 (65-59), 9 (21-12), 12 (98-86), 21 (89-68),

  The relevant sequence: A045573  Still numbers when turned upside down (only uses digits 0125689, with no final 0's). 

  Tanya
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