The On-Line Encyclopedia of Integer Sequences (OEIS)

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A004708

Expansion of 1/(11 - Sum_{k=1..10} exp(k*x)).
(history; published version)

#11 by Charles R Greathouse IV at Thu Sep 08 08:44:33 EDT 2022

PROG

(MAGMAMagma) 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

Discussion

Thu Sep 08

08:44

OEIS Server: https://oeis.org/edit/global/2944

#10 by Susanna Cuyler at Tue Oct 09 15:09:09 EDT 2018

STATUS

proposed

approved

#9 by G. C. Greubel at Tue Oct 09 13:04:31 EDT 2018

STATUS

editing

proposed

#8 by G. C. Greubel at Tue Oct 09 13:04:22 EDT 2018

NAME

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)).

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

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)).

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

AUTHOR

N. J. A. Sloane.

STATUS

approved

editing

#7 by Bruno Berselli at Fri Jun 15 16:17:38 EDT 2012

STATUS

proposed

approved

#6 by Vincenzo Librandi at Fri Jun 15 15:18:57 EDT 2012

STATUS

editing

proposed

#5 by Vincenzo Librandi at Fri Jun 15 15:18:50 EDT 2012

LINKS

Vincenzo Librandi, <a href="/A004708/b004708.txt">Table of n, a(n) for n = 0..200</a>

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 *)

STATUS

approved

editing

#4 by Russ Cox at Fri Mar 30 16:44:25 EDT 2012

AUTHOR

_N. J. A. Sloane (njas(AT)research.att.com)_.

Discussion

Fri Mar 30

16:44

OEIS Server: https://oeis.org/edit/global/110

#3 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009

KEYWORD

nonn,new

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

#2 by N. J. A. Sloane at Sun Jun 14 03:00:00 EDT 1998

REFERENCES

KEYWORD

nonn,new

nonn