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A217146 Numbers palindromic in 5 digits in at least 4 different (large) bases. 2

%I #25 Aug 22 2015 06:34:32

%S 4838419019,6675709063,13663698049,41876599051,45040065175,

%T 97958718154,152621159077,159012936244,269879465085,524268472566,

%U 586808622629,631698774527,866429089209,914610285001,938951012161,1033860873698,1327428637553,1372403843311,1683900384894

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

%C 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:

%C {91, 125, 144, 161},

%C {113, 130, 131, 150},

%C {139, 149, 174, 349},

%C {148, 193, 390, 450},

%C {162, 289, 306, 336},

%C {194, 351, 534, 558}, and

%C {208, 284, 424, 443}.

%H Hiroaki Yamanouchi, <a href="/A217146/b217146.txt">Table of n, a(n) for n = 1..52</a>

%e The number 4383419019 (in base 10) becomes

%e a) (50)(70)(59)(70)(50) when put in base 91,

%e b) (19)(102)(33)(102)(19) in base 125,

%e c) (11)(36)(54)(36)(11) in base 144, and

%e d) 7(32)(61)(32)7 in base 161.

%Y Cf. A171704.

%K nonn,base

%O 1,1

%A _James G. Merickel_, Sep 27 2012

%E a(8) added by _James G. Merickel_, Dec 09 2012

%E Terms sorted and added missing a(6) and a(9)-a(19) by _Hiroaki Yamanouchi_, Aug 22 2015

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Last modified April 18 18:58 EDT 2024. Contains 371781 sequences. (Running on oeis4.)