OFFSET
0,3
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 0..260
FORMULA
E.g.f.: Sum_{n>=0} exp(-n^2*x) * (exp(2*n*x) - 1)^n / (2^n*n!).
EXAMPLE
E.g.f.: A(x) = 1 + x + 4*x^2/2! + 28*x^3/3! + 320*x^4/4! + 5556*x^5/5! +...
where
A(x) = 1 + sinh(x) + sinh(2*x)^2/2! + sinh(3*x)^3/3! + sinh(4*x)^4/4! +...
PROG
(PARI) {a(n)=local(A=sum(m=0, n, sinh(m*x+x*O(x^n))^m/m!)); n!*polcoeff(A, n)}
CROSSREFS
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Oct 26 2011
STATUS
approved