A194018 E.g.f.: Sum_{n>=0} (1/n!) * Product_{k=1..n} sinh(k*x).

1, 1, 2, 7, 44, 401, 4502, 62217, 1078184, 22511377, 544697162, 15203286737, 487623058364, 17680076670153, 716428166601422, 32316840516097417, 1612716485426095184, 88351669713816692129, 5288325124017180531602, 344527211412891048386337

Offset

0,3

Links

Vaclav Kotesovec, Table of n, a(n) for n = 0..136

Example

E.g.f.: A(x) = 1 + x + 2*x^2/2! + 7*x^3/3! + 44*x^4/4! + 401*x^5/5! +...
where
A(x) = 1 + sinh(x) + sinh(x)*sinh(2*x)/2! + sinh(x)*sinh(2*x)*sinh(3*x)/3! +...

Prog

(PARI) {a(n)=local(A=sum(m=0, n, prod(k=1, m, sinh(k*x+x*O(x^n)))/m!)); n!*polcoeff(A, n)}

Crossrefs

Sequence in context: A000155 A077045 A178012 * A196793 A306880 A128579

Adjacent sequences: A194015 A194016 A194017 * A194019 A194020 A194021

Keyword

nonn

Author

Paul D. Hanna, Aug 11 2011

Status

approved