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Search: id:A065531
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| A065531 |
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Number of palindromes in all base b representations for n, for 2<=b<=n. |
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+0 7
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| 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
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OFFSET
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1,5
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COMMENT
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a(1) = 1 by convention.
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MATHEMATICA
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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}] (from Robert G. Wilson v (rgwv(AT)rgwv.com), May 12 2005)
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CROSSREFS
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Cf. A033868, A016038, A047811, A037183, A107129.
Sequence in context: A085693 A067995 A135551 this_sequence A131840 A057368 A085033
Adjacent sequences: A065528 A065529 A065530 this_sequence A065532 A065533 A065534
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KEYWORD
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easy,nonn
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AUTHOR
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Naohiro Nomoto (n_nomoto(AT)yabumi.com), Dec 02 2001
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