[seqfan] Another surprising omission from OEIS
Andrew Weimholt
andrew.weimholt at gmail.com
Wed Nov 11 02:58:01 CET 2009
Numbers that are repdigits with length > 2 in some base.
(length > 2 because all numbers n > 2, are trivially represented as 11
in base n-1)
7 = 111 base 2
13 = 111 base 3
15 = 1111 base 2
21 = 111 base 4
26 = 222 base 3
31 = 11111 base 2 (also 111 base 5)
40 = 1111 base 3
42 = 222 base 4
43 = 111 base 6
57 = 111 base 7
62 = 222 base 5
63 = 111111 base 2 (also 333 base 4)
73 = 111 base 8
80 = 2222 base 3
85 = 1111 base 4
86 = 222 base 6
91 = 111 base 9
93 = 333 base 5
111 = 111 base 10
114 = 222 base 7
121 = 11111 base 3
124 = 444 base 5
127 = 1111111 base 2
129 = 333 base 6
133 = 111 base 11
7, 13, 15, 21, 26, 31, 40, 42, 43, 57, 62, 63, 73, 80, 85, 86,
91, 93, 111, 114, 121, 124, 127, 129, 133, 146, 156, 157,
170, 171, 172, 182, 183, 211, 215, 219, 222, 228, 241, 242,
255, 259, 266, 273, 285, 292, 307, 312, 314, 333, 341, 342,
343, 364, 365, 366, 381, 399, 400, 421, 422, 438, 444, 455,
463, 468, 471, 482, 507, 511, 518, 532, 546, 549, 553, 555,
585, 601, 614, 624, 628, 633, 637, 651, 665, 666, 682, 686,
703, 723, 728, 732, 757, 762, 777, 781, 785, 798, 800, 813,
819, 820, 842, 844, 871, 888, 915, 921, 926, 931, 942, 964,
993, 999, 1014, 1023, 1029, 1036, 1055, 1057, 1064, 1092,
1093, 1098, 1099,1106, 1111
Andrew
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