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Search: id:A138734
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| A138734 |
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a(n) = n-th term of the (n+1)-th inverse binomial transform of A138737 for n>=0. |
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+0
2
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| 1, 0, 4, 0, 176, 0, 24192, 0, 6966528, 0, 3459768320, 0, 2642804895744, 0, 2880385956446208, 0, 4248075487709560832, 0, 8150896954121845211136, 0, 19738484719911211593891840, 0, 58891248341123034677673721856, 0
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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The n-th term of the n-th inverse binomial transform of A138737 = (n+1)^(n-1) for n>=0.
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FORMULA
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a(2n+1) = 0 for n>=0.
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PROGRAM
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(PARI) {a(n)=local(A=[1]); for(k=1, n, A=concat(A, 0); A[k+1]=(k+1)^(k-1)-polcoeff(subst(Ser(A), x, x/(1+k*x+x*O(x^k)))/(1+k*x), k)); polcoeff(subst(Ser(A), x, x/(1+(n+1)*x+x*O(x^n)))/(1+(n+1)*x), n)}
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CROSSREFS
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Cf. A138737.
Sequence in context: A013037 A129814 A129825 this_sequence A119010 A099841 A013452
Adjacent sequences: A138731 A138732 A138733 this_sequence A138735 A138736 A138737
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Apr 05 2008
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