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A134091
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Column 1 of triangle A134090.
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4
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1, 2, 9, 46, 285, 2021, 16023, 139812, 1326111, 13544857, 147880458, 1715413558, 21036674321, 271585117428, 3677831536291, 52081368845176, 769123715337395, 11816582501728389, 188470925178659344, 3114771205613655362
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Row n of triangle T=A134090 = row n of (I + D*C)^n for n>=0 where C denotes Pascal's triangle, I the identity matrix and D a matrix where D(n+1,n)=1 and zeros elsewhere.
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FORMULA
| a(n) = [x^n] Sum_{k=0..n+1} C(n+1,k)*x^k/(1-k*x) / [Product_{i=1..k}(1-i*x)].
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PROG
| (PARI) a(n)=polcoeff(sum(k=0, n+1, binomial(n+1, k)*x^k/(1-k*x)/prod(i=0, k, 1-i*x +x*O(x^n))), n)
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CROSSREFS
| Cf. A134090; columns: A122455, A134092, A134093; A134094 (row sums); A048993 (S2).
Sequence in context: A020053 A114194 A161798 * A183166 A032331 A049371
Adjacent sequences: A134088 A134089 A134090 * A134092 A134093 A134094
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Oct 07 2007
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