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A008826
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Triangle of coefficients from fractional iteration of e^x - 1.
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3
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1, 1, 3, 1, 13, 18, 1, 50, 205, 180, 1, 201, 1865, 4245, 2700, 1, 875, 16674, 74165, 114345, 56700, 1, 4138, 155477, 1208830, 3394790, 3919860, 1587600, 1, 21145, 1542699, 19800165, 90265560, 182184030, 167310360, 57153600, 1, 115973
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 2,3
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REFERENCES
| L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 148.
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FORMULA
| G.f. A(n;x) for n-th row satisfies A(n;x) = Sum_{k=0..n-1} Stirling2(n, k)*A(k;x)*x, A(1;x) = 1. - Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 02 2004
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EXAMPLE
| 1; 1,3; 1,13,18; 1,50,205,180; ...
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CROSSREFS
| Diagonals give A008827, A006472, A059355. Row sums is A005121.
Sequence in context: A133177 A184828 A053286 * A103440 A116483 A010290
Adjacent sequences: A008823 A008824 A008825 * A008827 A008828 A008829
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KEYWORD
| nonn,tabl,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 02 2004
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