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A135753
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E.g.f.: A(x) = Sum_{n>=0} exp((3^n-1)/2*x)*x^n/n!.
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3
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1, 1, 3, 16, 153, 2536, 72513, 3571156, 303033153, 44411895376, 11247688063233, 4933176144494236, 3746180187749948193, 4933259445571307491096, 11257237602638666745470913, 44566655569041016108120599556
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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FORMULA
| a(n) = Sum_{k=0..n} C(n,k)*[(3^k-1)/2]^(n-k).
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PROG
| (PARI) {a(n)=sum(k=0, n, binomial(n, k)*((3^k-1)/2)^(n-k))} (PARI) {a(n)=n!*polcoeff(sum(k=0, n, exp((3^k-1)/2*x)*x^k/k!), n)}
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CROSSREFS
| Cf. variants: A001831, A135754.
Sequence in context: A121588 A125281 A086371 * A191959 A091146 A172402
Adjacent sequences: A135750 A135751 A135752 * A135754 A135755 A135756
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Nov 27 2007
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