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Search: id:A132614
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| A132614 |
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Column 1 of triangle A132610 divided by row index less one. |
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+0
5
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| 1, 2, 13, 162, 3093, 80540, 2669415, 107660354, 5120654779, 280715282502, 17430145081600, 1209171149737470, 92693370560208210, 7781500380680157240, 710001855526865191083, 69962579484461463387330
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OFFSET
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1,2
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COMMENT
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Triangle T=A132610 is generated by even matrix powers of itself such that row n+1 of T = row n of T^(2n) with appended '1' for n>=0 with T(0,0)=1.
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FORMULA
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a(n) = A132610(n+1,1)/n = A132612(n)/n for n>=1.
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PROGRAM
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(PARI) {a(n)=local(A=vector(n+2), p); A[1]=1; if(n<1, 0, for(j=1, n-1, p=n^2-(n-j)^2; A=Vec((Polrev(A)+x*O(x^p))/(1-x))); A=Vec((Polrev(A)+x*O(x^p))/(1-x)); A[p+1]/n)}
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CROSSREFS
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Cf. A132610 (triangle); columns: A132611, A132612, A132613.
Sequence in context: A054382 A062593 A014507 this_sequence A098638 A090643 A132521
Adjacent sequences: A132611 A132612 A132613 this_sequence A132615 A132616 A132617
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Aug 23 2007
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