cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A099110 Expansion of 1 / ((1+x)*(1-2x)*(1-3x)*(1-4x)).

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%I A099110 #11 Sep 01 2018 03:09:05
%S A099110 1,8,47,238,1113,4956,21379,90266,375485,1545544,6313671,25650534,
%T A099110 103792417,418745972,1685723723,6775136242,27197312709,109079641440,
%U A099110 437189912335,1751374038590,7013340021161,28076893083148
%N A099110 Expansion of 1 / ((1+x)*(1-2x)*(1-3x)*(1-4x)).
%H A099110 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (8,-17,-2,24).
%F A099110 a(n) = (1/60) (80*2^n - 405*3^n + 384*4^n + (-1)^n).
%F A099110 a(n) = 8*a(n-1) - 17*a(n-2) - 2*a(n-3) + 24*a(n-4), n >= 4. - _Vincenzo Librandi_, Mar 22 2011
%t A099110 CoefficientList[Series[1/((1+x)(1-2x)(1-3x)(1-4x)),{x,0,30}],x] (* or *) LinearRecurrence[{8,-17,-2,24},{1,8,47,238},30] (* _Harvey P. Dale_, Oct 03 2016 *)
%o A099110 (PARI) Vec(1/((1+x)*(1-2*x)*(1-3*x)*(1-4*x))+O(x^99)) \\ _Charles R Greathouse IV_, Sep 26 2012
%Y A099110 First differences are in A004057. Pairwise sums are in A016269.
%K A099110 nonn,easy
%O A099110 0,2
%A A099110 _Ralf Stephan_, Sep 28 2004