A217146 Numbers palindromic in 5 digits in at least 4 different (large) bases.

4838419019, 6675709063, 13663698049, 41876599051, 45040065175, 97958718154, 152621159077, 159012936244, 269879465085, 524268472566, 586808622629, 631698774527, 866429089209, 914610285001, 938951012161, 1033860873698, 1327428637553, 1372403843311, 1683900384894

Offset

1,1

Comments

This sequence is generated in pursuit of the 5th term for the cross-referenced sequence. The bases that create 5-digit palindromes for each of the terms shown are:

{91, 125, 144, 161},

{113, 130, 131, 150},

{139, 149, 174, 349},

{148, 193, 390, 450},

{162, 289, 306, 336},

{194, 351, 534, 558}, and

{208, 284, 424, 443}.

Links

Hiroaki Yamanouchi, Table of n, a(n) for n = 1..52

Example

The number 4383419019 (in base 10) becomes
a) (50)(70)(59)(70)(50) when put in base 91,
b) (19)(102)(33)(102)(19) in base 125,
c) (11)(36)(54)(36)(11) in base 144, and
d) 7(32)(61)(32)7 in base 161.

Crossrefs

Cf. A171704.

Sequence in context: A224472 A015384 A233615 * A072018 A227799 A216013

Adjacent sequences: A217143 A217144 A217145 * A217147 A217148 A217149

Keyword

nonn,base

Author

James G. Merickel, Sep 27 2012

Extensions

a(8) added by James G. Merickel, Dec 09 2012

Terms sorted and added missing a(6) and a(9)-a(19) by Hiroaki Yamanouchi, Aug 22 2015

Status

approved