A060876 Intrinsic 6-palindromes: n is an intrinsic k-palindrome if it is a k-digit palindrome in some base.

33, 45, 51, 63, 244, 280, 316, 328, 364, 400, 412, 448, 484, 488, 524, 560, 572, 608, 644, 656, 692, 728, 1025, 1105, 1185, 1265, 1285, 1365, 1445, 1525, 1545, 1625, 1705, 1785, 1805, 1885, 1965, 2045, 2050, 2130, 2210, 2290, 2310, 2390

Offset: 1

Author

Harvey P. Dale, May 05 2001

Keywords

• nonn
• base

Comments

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.

Links

• Peter Kagey, Table of n, a(n) for n = 1..10000
• A. J. Di Scala and M. Sombra, Intrinsic Palindromic Numbers, arXiv:math/0105022 [math.GM], 2001.
• A. J. Di Scala and M. Sombra, Intrinsic Palindromes, Fib. Quart. 42, no. 1, Feb. 2004, pp. 76-81.

Crossrefs

Cf. A060873, A060874, A060875, A060877, A060878, A060879, A060947, A060948, A060949.