[seqfan] Re: Multiply by the fantom digit

Wed Apr 15 19:14:22 CEST 2015

Any with 2,4,5,5,5?

Franklin T. Adams-Watters

-----Original Message-----
From: Lars Blomberg <lars.blomberg at visit.se>
To: 'Sequence Fanatics Discussion list' <seqfan at list.seqfan.eu>
Sent: Wed, Apr 15, 2015 12:10 pm
Subject: [seqfan] Re: Multiply by the fantom digit

Hello,

Numbers that iterate to infinity with repeated multipliers 2,5 = 53, 68,
82, 84, 85, 105, 124, 155, 158, 173, 202, 219, 238, 287, 303, 317, 335, 349,
362, 367, 421, 424, 453, 465, 477, 481, 530, 533, 537, 542, 572, 612, 615, 656,
663, 669, 671, 680, 687, 689, 703, 715, 737, 738, 756, 758, 765, 797, 816, 820,
840, 842, 846, 850, 911, 919, 921, 931, 942, 945, 1007, 1022, 1025, 1029, 1050,
1057, 1066, 1068, 1087, 1116, 1117, 1168, 1173, 1175, 1212, 1216, 1236, 1240,
1241, 1297, 1302, 1308, 1326, 1349, 1387, 1395, 1415, 1422, 1428, 1439, 1459,
1513, 1526, 1543, 1545, 1550, 1556, 1557, 1562, 1580, 1581, 1583, 1588, 1616,
1618, 1634, 1646, 1659, 1730, 1741, 1752, 1763, 1792, 1793, 1798, 1801, 1803,
1805, 1817, 1818, 1843, 1876, 1894, 1896, 1914, 1922, 1923, 1933, 1934, 1939,
1945, 1947, 1958, 1971, 1975, 1988, 2004, 2009, 2017, 2020, 2048, 2056, 2062,
2076, 2083, 2108, 2114, 2123, 2127, 2142, 2158, 2159, 2190, 2201, 2211, 2267,
2298, 2317, 2343, 2356, 2369, 2380, 2411, 2417, 2433, 2443, 2446, 2451, 2459,
2491, 2505, 2522, 2526, 2536, 2551, 2571, 2583, ...

Numbers with repeated
multipliers 4,5,5 = 308, 1257, 1304, 2207, 2227, 2553, 2772, 3009, 3080, 6757,
7021, 7073, 7484, 9307, 9355, 9533, 9662, 9698, ...

Numbers with repeated
multipliers 8,5,5,5 = 385, 462, 529, 748, 935, 2273, 2978, 3465, 3850, 4117,
4158, 4232, 4620, 4627, 4811, 5290, 5775, 6732, 7480, 8309, 8529, 9051, 9076,
9350, 9448, 9523, 9559, 9714, ...

/Lars

-----Ursprungligt
meddelande-----
Från: SeqFan [mailto:seqfan-bounces at list.seqfan.eu] För Eric
Angelini
Skickat: den 15 april 2015 17:15
Till: Sequence Fanatics Discussion
list
Kopia: alexandre.wajnberg at skynet.be
Ämne: [seqfan] Multiply by the fantom
digit

Hello SeqFans,
The idea is to multiply a(n) by the largest digit not
present in a(n) -- and iterate.
The iteration stops when the result shows all
the digits from 0 to 9, or from 1 to 9, or from 2 to 9.

Is there an integer
that enters into an infinite seq? I guess not.

I've tested below the starts for
a(n) = 1, 2, 3 and
4.

Best,
É.
--------------------------------------------------

1 x 9 =
9 x 8
=
72 x 9 =
648 x 9 =
5832 x 9 =
52488 x 9 =
472392 x 8 =
3779136 x 8 =
30233088
x 9 =
272097792 x 8 =
2176782336 x 9 =
19591041024 x 8 =
156728328192 x 4
=
626913312768 x 5 =
3134566563840 x 9 =
28211099074560 x 3 =
84633297223680 x 5
=
423166486118400 x 9 =
3808498375065600 x 2 =
7616996750131200 x 8
=
60935974001049600 x 8 =
487487792008396800 x 5 =
243743896004198400000 x 5
=
1218719480020992000000 x 6 =
7312316880125952000000 x 4
=
29249267520503808000000 x 1 = stop

2 x 9 =
18 x 9 =
162 x 9 =
1458 x 9
=
13122 x 9 =
118098 x 7 =
826686 x 9 =
7440174 x 9 =
66961566 x 8 =
535692528 x
7 =
3749847696 x 5 =
18749238480 x 6 =
112495430880 x 7 =
787468016160 x 9
=
7087212145440 x 9 =
63784909308960 x 5 =
318924546544800 x 7
=
2232471825813600 x 9 =
20092246432322400 x 8 =
160737971458579200 x ...
stop

3 x 9 =
27 x 9 =
243 x 9 =
2187 x 9 =
19683 x 7 =
137781 x 9 =
1240029 x 8
=
9920232 x 8 =
79361856 x 4 =
317447424 x 9 =
2857026816 x 9 =
25713241344 x 9
=
231419172096 x 8 =
1851353376768 x 9 =
16662180390912 x 7 =
116635262736384 x
9 =
1049717364627456 x 8 =
8397738917019648 x 5 =
41988694585098240 x 7
=
293920862095687680 x 4 =
1175683448382750720 x 9 =
10581151035444756480 x 9
=
95230359319002808320 x 7 =
666612515233019658240 x 7 =
4666287606631137607680
x 9 =
41996588459680238469120 x 7 =
293976119217761669283840 x 5
=
1469880596088808346419200 x 7 =
10289164172621658424934400 x ... = stop

4 x
9 =
36 x 9 =
324 x 9 =
2916 x 8 =
23328 x 9 =
209952 x 8 =
1679616 x 8
=
13436928 x 7 =
94058496 x 7 =
658409472 x 3 =
1975228416 x 3 =
5925685248 x 7
=
41479796736 x 8 =
331838373888 x 9 =
2986545364992 x 7 =
20905817554944 x 6
=
125434905329664 x 8 =
1003479242637312 x 8 =
8027833941098496 x 5
=
40139169705492480 x ... =
stop

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