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

Author

James G. Merickel, Sep 27 2012

Keywords

• nonn
• base

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}.

Examples

			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.
		

Links

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

Crossrefs

Cf. A171704.

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