A210526 E.g.f.: Sum_{n>=0} tan(n*x)^n / n!.

1, 1, 4, 29, 384, 8001, 219200, 7639757, 338030592, 18221107681, 1161865470976, 86954156945501, 7533144553783296, 744010437498030561, 83107197798886031360, 10418926401222040969421, 1453531583873609883451392, 224285068607398484964201793, 38075052899686318527662522368

Offset

0,3

Links

Vaclav Kotesovec, Table of n, a(n) for n = 0..200

Example

E.g.f.: A(x) = 1 + x + 4*x^2/2! + 29*x^3/3! + 384*x^4/4! + 8001*x^5/5! +...
where
A(x) = 1 + tan(x) + tan(2*x)^2/2! + tan(3*x)^3/3! + tan(4*x)^4/4! + tan(5*x)^5/5! + tan(6*x)^6/6! +...

Prog

(PARI) {a(n)=local(X=x+x*O(x^n), Egf); Egf=sum(m=0, n, tan(m*X)^m/m!); n!*polcoeff(Egf, n)}
for(n=0, 20, print1(a(n), ", "))

Crossrefs

Cf. A198513, A221079.

Sequence in context: A368452 A000798 A135485 * A221079 A370165 A162287

Adjacent sequences: A210523 A210524 A210525 * A210527 A210528 A210529

Keyword

nonn

Author

Paul D. Hanna, Jan 27 2013

Status

approved