A193549 E.g.f.: Sum_{n>=0} (1/n!) * Product_{k=1..n} tan(k*x).

1, 1, 2, 8, 64, 696, 9872, 191008, 4566784, 131276032, 4579799552, 186766023168, 8790216177664, 476464164850688, 29213015354673152, 2012710664900415488, 155075844379301576704, 13231714749051132248064, 1244975006293271728750592

Offset

0,3

Links

Vaclav Kotesovec, Table of n, a(n) for n = 0..150

Example

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! +...

Prog

(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)}

Crossrefs

Sequence in context: A052707 A059862 A268666 * A005612 A326290 A136282

Adjacent sequences: A193546 A193547 A193548 * A193550 A193551 A193552

Keyword

nonn

Author

Paul D. Hanna, Jul 30 2011

Status

approved