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Search: id:A097060
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| A097060 |
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Revrepfigits (reverse replicating Fibonacci-like digits): Numbers n such that their reversal occurs in a sequence generated by starting with the n digits of a number and then continuing the sequence with a number that is the sum of the previous n terms. |
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+0
2
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| 12, 24, 36, 48, 52, 71, 341, 682, 1285, 5532, 8166, 17593, 28421, 74733, 90711, 759664, 901921, 1593583, 4808691, 6615651, 6738984, 8366363, 8422611, 26435142, 54734431, 57133931, 79112422, 89681171, 351247542, 428899438, 489044741, 578989902
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Numbers ending in zero are not permitted since the zeros are dropped upon reversal. However, terms with internal zeros such as 90711 are permitted. Conjectures: 1. Sequence is infinite. 2. Revrepfigits are more rare than repfigits.
There are no 12-digit revrepfigits.
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LINKS
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Bernardo Boncompagni and Anton Vrba, Table of n, a(n) for n = 1..59
Carlos Rivera, Primepuzzles.net Puzzle 384
Eric Weisstein's World of Mathematics, Keith Number
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EXAMPLE
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8166 is in the sequence since the sequence 8,1,6,6,21,34,67,128,250,479,924,1781,3434,6618, ..., contains the reversal of 8166.
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CROSSREFS
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Cf. A007629.
Sequence in context: A103291 A103292 A059691 this_sequence A066085 A094529 A044852
Adjacent sequences: A097057 A097058 A097059 this_sequence A097061 A097062 A097063
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KEYWORD
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base,nonn
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AUTHOR
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Jason Earls (zevi_35711(AT)yahoo.com), Sep 15 2004
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EXTENSIONS
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More terms from Bernardo Boncompagni (redgolpe(AT)redgolpe.com) and Anton Vrba (antonvrba(AT)yahoo.com), Jan 05 2007
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