A065531 Number of palindromes in all base b representations for n, for 2<=b<=n.

1, 0, 1, 1, 2, 1, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 3, 3, 1, 3, 4, 2, 2, 4, 2, 4, 3, 4, 2, 3, 3, 3, 3, 3, 2, 5, 2, 3, 2, 5, 2, 4, 2, 3, 4, 4, 1, 5, 2, 4, 4, 5, 1, 4, 4, 4, 4, 2, 2, 6, 2, 3, 5, 4, 5, 4, 3, 4, 2, 4, 2, 6, 3, 3, 3, 3, 2, 6, 1, 7, 3, 4, 2, 6, 5, 3, 2, 5, 2, 5, 4, 5, 4, 2, 2, 6, 2, 5, 4, 7, 2, 4, 1, 6, 6

Offset

1,5

Comments

a(1) = 1 by convention, which makes this sequence different from A135551.

Index of first occurrence of k in A037183. - Robert G. Wilson v, Oct 27 2014

Links

Robert G. Wilson v, Table of n, a(n) for n = 1..1000

Mathematica

palindromicBases[n_] := Module[{p}, Table[p = IntegerDigits[n, b]; If[ p == Reverse[p], {b, p}, Sequence @@ {}], {b, 2, n - 1}]]; Table[ Length[ palindromicBases[n]], {n, 105}] (* Robert G. Wilson v, May 12 2005 *)

Crossrefs

Cf. A016038, A047811, A037183, A107129.

Essentially the same as A135551.

Sequence in context: A085693 A067995 A135551 * A366574 A256558 A239281

Adjacent sequences: A065528 A065529 A065530 * A065532 A065533 A065534

Keyword

easy,nonn,base

Author

Naohiro Nomoto, Dec 02 2001

Status

approved