A223896 E.g.f.: A(x) = Sum_{n>=0} (-log(1 - sinh(n*x)))^n/n!.

1, 1, 5, 54, 992, 26905, 995512, 47801348, 2874725632, 210779874753, 18449217421736, 1895296727424034, 225357842422851712, 30654651465700321241, 4723260976024367542144, 817341855394754961120696, 157673457776213194720120832, 33688113119931694926084379969

Offset

0,3

Links

Table of n, a(n) for n=0..17.

Example

 E.g.f.: A(x) = 1 + x + 5*x^2/2! + 54*x^3/3! + 992*x^4/4! + 26905*x^5/5! +...
where
A(x) = 1 - log(1-sinh(x)) + log(1-sinh(2*x))^2/2! - log(1-sinh(3*x))^3/3! + log(1-sinh(4*x))^4/4! - log(1-sinh(5*x))^5/5! + log(1-sinh(6*x))^6/6! +...

Prog

 (PARI) {a(n)=local(A=1+x); for(i=1, n, A=1+sum(m=1, n, (-log(1-sinh(m*x+x*O(x^n))))^m/m!)); n!*polcoeff(A, n)}
for(n=0, 20, print1(a(n), ", "))

Crossrefs

Cf. A223895, A223898.

Sequence in context: A251583 A359562 A359617 * A245765 A085719 A129420

Adjacent sequences: A223893 A223894 A223895 * A223897 A223898 A223899

Keyword

nonn

Author

Paul D. Hanna, Mar 28 2013

Status

approved