OFFSET
0,4
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..250
Eric Weisstein's MathWorld, Bell Polynomial.
FORMULA
a(n) = 2^n*Re(B_n(i/2)), where B_n(x) is n-th Bell polynomial, i=sqrt(-1). Vladimir Reshetnikov, Oct 22 2015
MAPLE
seq(coeff(series(factorial(n)*cos(sinh(x)*exp(x)), x, n+1), x, n), n=0..25); # Muniru A Asiru, Jul 24 2018
MATHEMATICA
Table[SeriesCoefficient[Cos[Sinh[x] Exp[x]], {x, 0, n}] n!, {n, 0, 20}]
Table[2^n Re[BellB[n, I/2]], {n, 0, 20}] (* Vladimir Reshetnikov, Oct 22 2015 *)
PROG
(PARI) x='x+O('x^30); Vec(serlaplace(cos(sinh(x)*exp(x)))) \\ G. C. Greubel, Jul 23 2018
(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Cos(Sinh(x)*Exp(x)))); [Factorial(n-1)*b[n]: n in [1..m]]; // G. C. Greubel, Jul 23 2018
CROSSREFS
KEYWORD
sign,easy
AUTHOR
EXTENSIONS
Extended with signs by Olivier Gérard, Mar 15 1997
STATUS
approved