|
Search: id:A097060
|
|
|
| A097060 |
|
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. |
|
+0
2
|
|
| 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)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
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.
|
|
REFERENCES
|
J. Earls, Mathematical Bliss, Pleroma Publications, 2009, pages 11-13. ASIN: B002ACVZ6O [From Jason Earls (zevi_35711(AT)yahoo.com), Nov 21 2009]
|
|
LINKS
|
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
|
|
EXAMPLE
|
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.
|
|
CROSSREFS
|
Cf. A007629.
Sequence in context: A103291 A103292 A059691 this_sequence A066085 A094529 A044852
Adjacent sequences: A097057 A097058 A097059 this_sequence A097061 A097062 A097063
|
|
KEYWORD
|
base,nonn,new
|
|
AUTHOR
|
Jason Earls (zevi_35711(AT)yahoo.com), Sep 15 2004
|
|
EXTENSIONS
|
More terms from Bernardo Boncompagni (redgolpe(AT)redgolpe.com) and Anton Vrba (antonvrba(AT)yahoo.com), Jan 05 2007
|
|
|
Search completed in 0.002 seconds
|
