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Search: id:A072493
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| A072493 |
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a(1)=1, a(n)=ceiling((sum_{k=1..n-1} a(k))/3). |
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+0
79
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| 1, 1, 1, 1, 2, 2, 3, 4, 5, 7, 9, 12, 16, 22, 29, 39, 52, 69, 92, 123, 164, 218, 291, 388, 517, 690, 920, 1226, 1635, 2180, 2907, 3876, 5168, 6890, 9187, 12249, 16332, 21776, 29035, 38713, 51618, 68824, 91765, 122353, 163138, 217517, 290023, 386697
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OFFSET
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1,5
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COMMENT
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Is this sequence, with its first 8 terms removed, the same as A005427? See also the similar conjecture with A005428/A073941. - Ralf Stephan (ralf(AT)ark.in-berlin.de), Apr 04 2003
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FORMULA
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a(n) = ceiling(c*(4/3)^n-1/2) where c=0.389324199524937508840138455...
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MATHEMATICA
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f[s_] := Append[s, Ceiling[Plus @@ s/3]]; Nest[f, {1}, 52] (from Robert G. Wilson v (rgwv(at)rgwv.com), Jul 07 2006)
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CROSSREFS
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Cf. A073941, A005427.
Sequence in context: A000931 A078027 A134816 this_sequence A064324 A032277 A133498
Adjacent sequences: A072490 A072491 A072492 this_sequence A072494 A072495 A072496
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Nov 22 2002
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