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A009585
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E.g.f. sinh(log(1+x)^2).
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2
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0, 0, 2, -6, 22, -100, 668, -6048, 64776, -763488, 9676152, -131167080, 1900043880, -29387788560, 484545133200, -8496674716320, 158018410132800, -3107703909004800, 64445168622156960, -1405303346393768160
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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FORMULA
| a(n)=sum(j=1..(n+1)/2, (4*j-2)!/(2*j-1)!*stirling1(n,4*j-2)), n>0, a(0)=0. [From Vladimir Kruchinin, Jun 08 2011]
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EXAMPLE
| sinh(log(x+1)^2) = 2/2!*x^2-6/3!*x^3+22/4!*x^4-100/5!*x^5...
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PROG
| (Maxima)
a(n):=sum((4*j-2)!/(2*j-1)!*stirling1(n, 4*j-2), j, 1, (n+1)/2); [From Vladimir Kruchinin, Jun 08 2011]
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CROSSREFS
| Sequence in context: A177478 A052517 A012270 * A012267 A012268 A009655
Adjacent sequences: A009582 A009583 A009584 * A009586 A009587 A009588
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KEYWORD
| sign,easy
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AUTHOR
| R. H. Hardin (rhhardin(AT)att.net)
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EXTENSIONS
| Extended with signs Mar 15 1997 by Olivier Gerard.
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