A002983 Expansion of e.g.f. 1/(1 - x*exp(x) + x^2*exp(2*x)).

1, 1, 2, -3, -92, -1015, -8274, -35483, 496280, 18127377, 344895130, 4427896781, 15653147412, -1300426685831, -53961316375498, -1345994948213355, -20836853905979984, 60576513730122017, 19579099820703961266, 894668319876527296669, 26059066415716831363820

Offset

0,3

Links

Jinyuan Wang, Table of n, a(n) for n = 0..300

Mathematica

nmax=20; CoefficientList[Series[1/(1-x*Exp[x]+x^2*Exp[2*x]), {x, 0, nmax}], x] Range[0, nmax]! (* Jinyuan Wang, Mar 17 2020 *)

Prog

(PARI) my(x='x+O('x^25)); Vec(serlaplace(1/(1 - x*exp(x) + x^2*exp(2*x)))) \\ Michel Marcus, Mar 17 2020

Crossrefs

Sequence in context: A042901 A356796 A356786 * A118167 A291932 A247652

Adjacent sequences: A002980 A002981 A002982 * A002984 A002985 A002986

Keyword

sign

Author

N. J. A. Sloane

Extensions

More terms from Jinyuan Wang, Mar 17 2020

Status

approved