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Search: id:A101982
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| A101982 |
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Row sums of triangle A101980, which is the matrix logarithm of A008459 (squared entries of Pascal's triangle). |
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+0
3
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| 0, 1, 3, 4, 11, -44, 942, -23561, 806955, -35956868, 2023718198, -140435834681, 11782131588086, -1175694615277233, 137629159046661089, -18679508311308283526, 2909710453923000618155, -515605748075502971981108, 103130355820655917046896638, -23123715029010809457898920545
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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A101981 is essentially a signed offset version of A002190 and is related to Bessel functions.
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FORMULA
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a(n) = Sum_{k=0..n} A101981(n-k)*C(n, k)^2.
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PROGRAM
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(PARI) {a(n)=sum(k=0, n, sum(m=1, n, (-1)^(m-1)* (matrix(n+1, n+1, i, j, if(i>j, binomial(i-1, j-1)^2))^m/m)[n+1, k+1]))}
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CROSSREFS
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Cf. A008459, A002190, A101980, A101981.
Sequence in context: A119042 A042273 A037185 this_sequence A041947 A102013 A079940
Adjacent sequences: A101979 A101980 A101981 this_sequence A101983 A101984 A101985
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KEYWORD
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sign
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Dec 23 2004
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