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Search: id:A137719
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| A137719 |
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Sequence based on pattern (3n,3n,3n,3n+2,3n+1,3n+2). |
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+0
2
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| 0, 2, 1, 2, 3, 3, 3, 5, 4, 5, 6, 6, 6, 8, 7, 8, 9, 9, 9, 11, 10, 11, 12, 12, 12, 14, 13, 14, 15, 15, 15, 17, 16, 17, 18, 18, 18, 20, 19, 20, 21, 21, 21, 23, 22, 23, 24, 24, 24, 26, 25, 26, 27, 27, 27, 29, 28, 29, 30, 30, 30
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Powers of 2 in a scaled version of the Hankel transform of A106191.
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FORMULA
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a(n)=log(abs(A137718(n)))/log(2);
O.g.f.: 1/[2(-1+x)^2]+(-1+x)/[3(x^2+x+1)]-1/[4(x+1)]-1/[12(-1+x)] . a(n) = 3+a(n-6) . - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 10 2008
a(n)=Sum_{k=0..n}(1/30)*{(k mod 6)+6*[(k+1) mod 6]+[(k+2) mod 6]-9*[(k+3) mod 6]+16*[(k+4) mod 6]-9*[(k+5) mod 6]} - Paolo P. Lava (ppl(AT)spl.at), Mar 20 2008
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CROSSREFS
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Sequence in context: A003986 A123603 A020908 this_sequence A029165 A035431 A008681
Adjacent sequences: A137716 A137717 A137718 this_sequence A137720 A137721 A137722
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Feb 08 2008
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