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A210526 E.g.f.: Sum_{n>=0} tan(n*x)^n / n!. 1
1, 1, 4, 29, 384, 8001, 219200, 7639757, 338030592, 18221107681, 1161865470976, 86954156945501, 7533144553783296, 744010437498030561, 83107197798886031360, 10418926401222040969421, 1453531583873609883451392, 224285068607398484964201793, 38075052899686318527662522368 (list; graph; refs; listen; history; text; internal format)
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: A168602 A000798 A135485 * A221079 A162287 A277357

Adjacent sequences:  A210523 A210524 A210525 * A210527 A210528 A210529

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Jan 27 2013

STATUS

approved

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Last modified October 20 12:34 EDT 2018. Contains 316379 sequences. (Running on oeis4.)