A004708 Expansion of 1/(11 - Sum_{k=1..10} exp(k*x)).

1, 55, 6435, 1128325, 263787183, 77087372725, 27032987762055, 11059911220828525, 5171317240313350863, 2720215076708542774405, 1589874326596159958849175, 1022150945200597388917580125

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Formula

Equals expansion of 1/(11-exp(x)-exp(2*x)-exp(3*x)-exp(4*x)-exp(5*x)-exp(6*x)-exp(7*x)-exp(8*x)-exp(9*x)-exp(10*x)).

Mathematica

With[{nn=20}, CoefficientList[Series[1/(11-Exp[x]-Exp[2*x]-Exp[3*x]-Exp[4*x]-Exp[5*x]-Exp[6*x]-Exp[7*x]-Exp[8*x]-Exp[9*x]-Exp[10*x]), {x, 0, nn}], x] Range[0, nn]!] (* Vincenzo Librandi, Jun 15 2012 *)

Prog

(PARI) x='x+O('x^30); Vec(serlaplace(1/(11-exp(x)-exp(2*x)-exp(3*x)-exp(4*x)-exp(5*x)-exp(6*x)-exp(7*x)-exp(8*x)-exp(9*x)-exp(10*x)))) \\ G. C. Greubel, Oct 09 2018
(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(1/(11-Exp(x)-Exp(2*x)-Exp(3*x)-Exp(4*x)-Exp(5*x)-Exp(6*x)-Exp(7*x)-Exp(8*x)-Exp(9*x)-Exp(10*x)))); [Factorial(n-1)*b[n]: n in [1..m]]; // G. C. Greubel, Oct 09 2018

Crossrefs

Sequence in context: A231783 A114049 A028471 * A269500 A090813 A145617

Adjacent sequences: A004705 A004706 A004707 * A004709 A004710 A004711

Keyword

nonn

Author

N. J. A. Sloane

Status

approved