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A193549
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E.g.f.: Sum_{n>=0} (1/n!) * Product_{k=1..n} tan(k*x).
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1
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1, 1, 2, 8, 64, 696, 9872, 191008, 4566784, 131276032, 4579799552, 186766023168, 8790216177664, 476464164850688, 29213015354673152, 2012710664900415488, 155075844379301576704, 13231714749051132248064, 1244975006293271728750592
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OFFSET
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0,3
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LINKS
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EXAMPLE
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A(x) = 1 + x + 2*x^2/2! + 8*x^3/3! + 64*x^4/4! + 696*x^5/5! + 9872*x^6/6! +...
where
A(x) = 1 + tan(x) + tan(x)*tan(2*x)/2! + tan(x)*tan(2*x)*tan(3*x)/3! +...
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PROG
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(PARI) {a(n)=local(X=x+x*O(x^n), Egf); Egf=sum(m=0, n, prod(k=1, m, tan(k*X))/m!); n!*polcoeff(Egf, n)}
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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