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 A065531 Number of palindromes in all base b representations for n, for 2<=b<=n. 9
 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 (list; graph; refs; listen; history; text; internal format)
 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 * A256558 A239281 A024936 Adjacent sequences:  A065528 A065529 A065530 * A065532 A065533 A065534 KEYWORD easy,nonn,base AUTHOR Naohiro Nomoto, Dec 02 2001 STATUS approved

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Last modified September 23 12:04 EDT 2021. Contains 347615 sequences. (Running on oeis4.)