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Search: id:A127548
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| A127548 |
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O.g.f.: Sum_{n>=0} n!*(x/(1+x)^2)^n. |
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+0
1
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| 1, 1, 0, 1, 4, 19, 112, 771, 6088, 54213, 537392, 5867925, 69975308, 904788263, 12607819040, 188341689287, 3002539594128, 50878366664393, 913161208490016, 17304836525709097, 345279674107957524
(list; graph; listen)
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OFFSET
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0,5
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FORMULA
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a(n)=sum_{s=1..n} (-1)^(n-s)*s!*C(s+n-1,2s-1) if n>=1, where C(a,b)=binomial(a,b). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 13 2007
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MAPLE
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A127548 := proc(n) if n = 0 then 1 ; else add(factorial(s)*(-1)^(n-s)*binomial(s+n-1, 2*s-1), s=1..n) ; fi ; end: for n from 0 to 20 do printf("%d, ", A127548(n)) ; od ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 13 2007
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CROSSREFS
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Cf. A000179, A078480.
Sequence in context: A117397 A004212 A060905 this_sequence A122835 A013185 A060907
Adjacent sequences: A127545 A127546 A127547 this_sequence A127549 A127550 A127551
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KEYWORD
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easy,more,nonn
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AUTHOR
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Vladeta Jovovic (vladeta(AT)Eunet.yu), Jun 27 2007
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 13 2007
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