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A210526
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E.g.f.: Sum_{n>=0} tan(n*x)^n / n!.
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1
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1, 1, 4, 29, 384, 8001, 219200, 7639757, 338030592, 18221107681, 1161865470976, 86954156945501, 7533144553783296, 744010437498030561, 83107197798886031360, 10418926401222040969421, 1453531583873609883451392, 224285068607398484964201793, 38075052899686318527662522368
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history;
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internal format)
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OFFSET
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0,3
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LINKS
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Vaclav Kotesovec, Table of n, a(n) for n = 0..200
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EXAMPLE
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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! +...
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PROG
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(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), ", "))
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CROSSREFS
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Cf. A198513, A221079.
Sequence in context: A168602 A000798 A135485 * A221079 A162287 A324227
Adjacent sequences: A210523 A210524 A210525 * A210527 A210528 A210529
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna, Jan 27 2013
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STATUS
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approved
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