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Search: id:A135754
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| A135754 |
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E.g.f.: A(x) = Sum_{n>=0} exp((4^n-1)/3*x)*x^n/n!. |
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+0
3
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| 1, 1, 3, 19, 239, 6091, 305023, 30818299, 6155906879, 2484667187371, 1989929726352863, 3221489148102557179, 10362312712649347408159, 67345216546226371822133611, 869978904614825017953532433663
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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a(n) = Sum_{k=0..n} C(n,k)*[(4^k-1)/3]^(n-k).
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PROGRAM
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(PARI) {a(n)=sum(k=0, n, binomial(n, k)*((4^k-1)/3)^(n-k))} (PARI) {a(n)=n!*polcoeff(sum(k=0, n, exp((4^k-1)/3*x)*x^k/k!), n)}
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CROSSREFS
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Cf. variants: A001831, A135753.
Adjacent sequences: A135751 A135752 A135753 this_sequence A135755 A135756 A135757
Sequence in context: A003111 A126444 A001929 this_sequence A118023 A054590 A069344
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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), Nov 27 2007
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