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A009563
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E.g.f. sin(x/cosh(x)) (odd powers only).
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0
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1, -4, 56, -1688, 84160, -6141312, 613282944, -80158806016, 13267800137728, -2710082835353600, 669033814167273472, -196220826200422416384, 67398310755666413387776, -26784943833122921085534208
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,2
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LINKS
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Table of n, a(n) for n=0..13.
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FORMULA
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a(n)=2*sum(m=0..n-1, binomial(2*n+1,2*m+1)*(sum(j=0..(n-m), binomial(m+j-1/2,j)*4^(n-m-j)*sum(i=0..j, (i-j)^(2*n-2*m)*binomial(2*j,i)*(-1)^(m+j-i)))))+(-1)^n. [Vladimir Kruchinin, Jun 16 2011]
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PROG
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(Maxima)
a(n):=2*sum(binomial(2*n+1, 2*m+1)*(sum(binomial(m+j-1/2, j)*4^(n-m-j)*sum((i-j)^(2*n-2*m)*binomial(2*j, i)*(-1)^(m+j-i), i, 0, j), j, 0, (n-m))), m, 0, n-1)+(-1)^n; [Vladimir Kruchinin, Jun 16 2011]
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CROSSREFS
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Sequence in context: A009558 A113583 A174489 * A111849 A009159 A013055
Adjacent sequences: A009560 A009561 A009562 * A009564 A009565 A009566
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KEYWORD
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sign
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AUTHOR
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R. H. Hardin
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EXTENSIONS
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Extended with signs Mar 15 1997 by Olivier Gerard.
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STATUS
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approved
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