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A012284
Expansion of e.g.f. sinh(sin(x)*log(x+1)).
1
0, 0, 2, -3, 4, -20, 230, -1911, 12920, -104040, 1058458, -11889955, 141336380, -1804017852, 24962731950, -371663464095, 5900573560752, -99478198783184, 1776396441716658, -33501559023746883, 665305926036550324
OFFSET
0,3
LINKS
EXAMPLE
E.g.f. = 2*x^2/2! - 3*x^3/3! + 4*x^4/4! - 20*x^5/5! + ...
MATHEMATICA
CoefficientList[Series[Sinh[Log[1 + x]*Sin[x]], {x, 0, 20}], x] * Range[0, 20]! (* Vaclav Kotesovec, Feb 05 2015 *)
PROG
(PARI) x='x+O('x^30); concat([0, 0], Vec(serlaplace(sinh(sin(x)* log(x+1))))) \\ G. C. Greubel, Oct 26 2018
(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!( Sinh(Sin(x)*Log(x+1)) )); [0, 0] cat [Factorial(n+1)*b[n]: n in [1..m-2]]; // G. C. Greubel, Oct 26 2018
CROSSREFS
Sequence in context: A302610 A331558 A347210 * A244673 A012574 A012282
KEYWORD
sign
AUTHOR
Patrick Demichel (patrick.demichel(AT)hp.com)
EXTENSIONS
Prepended missing a(0)=a(1)=0 from Vaclav Kotesovec, Feb 05 2015
STATUS
approved