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A009596
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E.g.f. sinh(sin(x)^2) (even powers only).
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2
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0, 2, -8, 152, -6848, 312992, -17468288, 1385712512, -143250864128, 17321985331712, -2418583050119168, 396575082357512192, -75839817371814084608, 16517549362496506929152
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| a(n)=8*sum(j=1..n, 2^(2*n-4*j)/(2*j-1)!*sum(i=0..2*j-1, (i-2*j+1)^(2*n)*binomial(4*j-2,i)*(-1)^(n-1-i))); [From Vladimir Kruchinin, Jun 08 2011]
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EXAMPLE
| sinh(sin(x)*sin(x))=2/2!*x^2-8/4!*x^4+152/6!*x^6-6848/8!*x^8... - Patrick Demichel (dml(AT)hpfrcu03.france.hp.com)
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PROG
| (Maxima)
a(n):=8*sum(2^(2*n-4*j)/(2*j-1)!*sum((i-2*j+1)^(2*n)*binomial(4*j-2, i)*(-1)^(n-1-i), i, 0, 2*j-1), j, 1, n); [From Vladimir Kruchinin, Jun 08 2011]
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CROSSREFS
| Sequence in context: A007314 A102099 A012298 * A012571 A018926 A012432
Adjacent sequences: A009593 A009594 A009595 * A009597 A009598 A009599
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KEYWORD
| sign
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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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