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A009591 E.g.f. sinh(sin(x)) * sin(x) (even powers only). 1
0, 2, -4, -42, 888, -8086, -115468, 8863806, -275344656, 2488177106, 369676840940, -34139482063962, 1691837365047912, -16526563632072646, -7669129653528552220, 1088114395890103645710, -87525176659638470236704 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

a(n)=2*sum(j=1..n, 4^(n-j)/(2*j-1)!*sum(i=0..j-1, (i-j)^(2*n)* binomial(2*j,i)*(-1)^(n+j-i))). [From Vladimir Kruchinin, Jun 09 2011]

PROG

(Maxima)

a(n):=2*sum(4^(n-j)/(2*j-1)!*sum((i-j)^(2*n)*binomial(2*j, i)*(-1)^(n+j-i), i, 0, j-1), j, 1, n); [From Vladimir Kruchinin, Jun 09 2011]

CROSSREFS

Sequence in context: A018312 A009547 A009811 * A009717 A018317 A059794

Adjacent sequences:  A009588 A009589 A009590 * A009592 A009593 A009594

KEYWORD

sign

AUTHOR

R. H. Hardin (rhhardin(AT)att.net)

EXTENSIONS

Extended with signs Mar 15 1997 by Olivier Gerard.

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Last modified February 14 22:53 EST 2012. Contains 205685 sequences.