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Search: id:A132619
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| A132619 |
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Column 1 of triangle A132615 divided by twice the row index less 1. |
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+0
5
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| 1, 1, 5, 54, 940, 22917, 722530, 28009490, 1289854644, 68827561580, 4176770296181, 284087018905946, 21406395137288400, 1770085307452770344, 159359206078637624790, 15516776721991034328250
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OFFSET
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0,3
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COMMENT
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Triangle T=A132615 is generated by odd matrix powers of itself such that row n+1 of T = row n of T^(2n-1) with appended '1' for n>=0 with T(0,0)=1.
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FORMULA
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a(n) = A132615(n+1,1)/(2n-1) = A132617(n)/(2n-1) for n>=1.
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PROGRAM
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(PARI) {a(n)=local(A=vector(n+1), p); A[1]=1; for(j=1, n-1, p=n*(n-1)-(n-j)*(n-j-1); A=Vec((Polrev(A)+x*O(x^p))/(1-x))); A=Vec((Polrev(A)+x*O(x^p))/(1-x)); A[p+1]/(2*n-1)}
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CROSSREFS
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Cf. A132615 (triangle); columns: A132616, A132617, A132618.
Adjacent sequences: A132616 A132617 A132618 this_sequence A132620 A132621 A132622
Sequence in context: A087125 A110430 A110432 this_sequence A085719 A129420 A015221
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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 24 2007
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