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A132612
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Column 1 of triangle A132610.
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4
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1, 1, 4, 39, 648, 15465, 483240, 18685905, 861282832, 46085893011, 2807152825020, 191731595897600, 14510053796849640, 1205013817282706730, 108941005329522201360, 10650027832902977866245
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OFFSET
| 0,3
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COMMENTS
| 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
| a(n) is divisible by n for n>0; a(n)/n = A132614(n).
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PROG
| (PARI) {a(n)=local(A=vector(n+2), p); A[1]=1; 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]}
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CROSSREFS
| Cf. A132610 (triangle); other columns: A132611, A132613; A132614.
Sequence in context: A178920 A066399 A065760 * A129463 A188418 A136653
Adjacent sequences: A132609 A132610 A132611 * A132613 A132614 A132615
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Aug 23 2007
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