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A126151
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Column 0 and row sums of symmetric triangle A126150.
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4
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1, 1, 6, 96, 2976, 151416, 11449296, 1204566336, 168233625216, 30110372009856, 6719377991060736, 1829013279998846976, 596449130341224185856, 229556544889929225117696, 102956750031135241952280576
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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FORMULA
| a(n)=Sum_{k, 0<=k<=n}A087736(n,k)*2^(n-k). - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Jul 17 2007
G.f.: 1/(1-x/(1-5*x/(1-12*x/(1-22*x/(1-35*x/(1-51*x/(1-70*x/(1-...- (n*(3*n-1)/2)*x/(1-...))))))))), a continued fraction involving pentagonal numbers A000326. [From Paul D. Hanna, Feb 15 2012]
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PROG
| (PARI) /* Continued Fraction involving pentagonal numbers A000326: */
{a(n)=local(CF=1+x*O(x), m, P); for(k=1, n, m=n-k+1; P=m*(3*m-1)/2; CF=1/(1-P*x*CF)); polcoeff(CF, n, x)}
for(n=0, 20, print1(a(n), ", "))
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CROSSREFS
| Cf. A126150; diagonals: A126152, A126153.
Sequence in context: A139743 A156460 A038094 * A066319 A186269 A111826
Adjacent sequences: A126148 A126149 A126150 * A126152 A126153 A126154
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KEYWORD
| nonn,changed
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Dec 19 2006
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