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Intrinsic 7-palindromes: n is an intrinsic k-palindrome if it is a k-digit palindrome in some base.
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%I #17 Jan 05 2025 19:51:36

%S 65,73,85,93,99,107,119,127,730,757,784,820,847,874,910,937,964,976,

%T 1003,1030,1066,1093,1120,1156,1183,1210,1222,1249,1276,1312,1339,

%U 1366,1402,1429,1456,1460,1487,1514,1550,1577,1604,1640,1667,1694

%N Intrinsic 7-palindromes: n is an intrinsic k-palindrome if it is a k-digit palindrome in some base.

%C All numbers are intrinsic 1- and 2-palindromes, almost all numbers are intrinsic 3-palindromes and very few numbers are intrinsic k-palindromes for k >= 4.

%H Peter Kagey, <a href="/A060877/b060877.txt">Table of n, a(n) for n = 1..10000</a>

%H A. J. Di Scala and M. Sombra, <a href="http://arXiv.org/abs/math.GM/0105022">Intrinsic Palindromic Numbers</a>, arXiv:math/0105022 [math.GM], 2001.

%H A. J. Di Scala and M. Sombra, <a href="https://web.archive.org/web/2024*/https://www.fq.math.ca/Papers1/42-1/quartscala01_2004.pdf">Intrinsic Palindromes</a>, Fib. Quart. 42, no. 1, Feb. 2004, pp. 76-81.

%Y Cf. A060873, A060874, A060875, A060876, A060878, A060879, A060947, A060947, A060949.

%K nonn,base

%O 1,1

%A _Harvey P. Dale_, May 05 2001