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A009635
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E.g.f. tan(x*exp(x)).
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0
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0, 1, 2, 5, 28, 201, 1566, 14349, 154456, 1870225, 25034650, 368887573, 5938767924, 103580577881, 1945112687350, 39137964503837, 840076566197552, 19158967944112929, 462642378426338994, 11792392190823752229
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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FORMULA
| a(n)=2*sum(m=0..floor((n-1)/2), binomial(n, 2*m+1)*(2*m+1)^(n-2*m-1)*sum(j=1..2*m+1, j!*2^(2*m-j)*(-1)^(m+1+j)*stirling2(2*m+1, j))). [From Vladimir Kruchinin, Jun 10 2011]
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PROG
| (Maxima)
a(n):=2*sum(binomial(n, 2*m+1)*(2*m+1)^(n-2*m-1)*sum(j!*2^(2*m-j)*(-1)^(m+1+j)*stirling2(2*m+1, j), j, 1, 2*m+1), m, 0, (n-1)/2); [From Vladimir Kruchinin, Jun 10 2011]
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CROSSREFS
| Sequence in context: A047132 A072371 A019043 * A138293 A068069 A105787
Adjacent sequences: A009632 A009633 A009634 * A009636 A009637 A009638
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KEYWORD
| nonn
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AUTHOR
| R. H. Hardin (rhhardin(AT)att.net)
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EXTENSIONS
| Extended, reformatted, offset corrected 03/97.
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