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Search: id:A065551
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| A065551 |
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Triangle of Faulhaber numbers (numerators) read by rows. |
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+0
4
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| 1, 0, 1, 0, -1, 1, 0, 1, -1, 1, 0, -3, 3, -1, 1, 0, 5, -5, 17, -2, 1, 0, -691, 691, -118, 41, -5, 1, 0, 35, -35, 359, -44, 14, -1, 1, 0, -3617, 3617, -1237, 1519, -293, 22, -7, 1, 0, 43867, -43867, 750167, -13166, 2829, -2258, 217, -4, 1, 0, -1222277, 1222277, -627073, 1540967, -198793, 689, -235, 46, -3, 1, 0
(list; table; graph; listen)
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OFFSET
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0,12
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LINKS
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Ira M. Gessel and X. G. Viennot, Determinants, paths and plane partitions, 1989, p. 27, eqn 12.2
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FORMULA
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Sum((n, k=0..inf) a(n, k) t^k x^(2n+1)/(2n+1)! = Series[(Cosh[Sqrt[1+4t] x/2]-Cosh[x/2])/t/Sinh[x/2], {x, 0, }]
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EXAMPLE
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{1}, {0, 1}, {0, -1, 1}, {0, 1, -1, 1}, {0, -3, 3, -1, 1}, {0, 5, -5, 17, -2, 1}
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CROSSREFS
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Cf. A065553.
Cf. A103438.
Sequence in context: A132062 A065547 A143333 this_sequence A059441 A059790 A130778
Adjacent sequences: A065548 A065549 A065550 this_sequence A065552 A065553 A065554
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KEYWORD
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frac,sign,tabl
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AUTHOR
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Wouter Meeussen (wouter.meeussen(AT)pandora.be), Dec 02 2001
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