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Search: id:A101981
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| A101981 |
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Column 0 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, -1, 4, -33, 456, -9460, 274800, -10643745, 530052880, -32995478376, 2510382661920, -229195817258100, 24730000147369440, -3113066087894608560, 452168671458789789504, -75059305956331837485345, 14121026957032156557396000, -2988687741694684876495689040
(list; graph; listen)
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OFFSET
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0,4
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COMMENT
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This sequence 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) = (-1)^(n+1)*A002190(n) for n>=2.
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PROGRAM
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(PARI) {a(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, 1])}
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CROSSREFS
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Cf. A008459, A002190, A101980, A101982.
Sequence in context: A119821 A102321 A002190 this_sequence A002018 A072754 A113086
Adjacent sequences: A101978 A101979 A101980 this_sequence A101982 A101983 A101984
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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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