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.

A112504 Fifth column of triangle A112500.

This page as a plain text file.
%I A112504 #13 Jul 10 2025 19:39:55
%S A112504 1,35,665,9107,100751,957197,8110087,62854845,453710670,3091406010,
%T A112504 20086835910,125465290530,758173316850,4455503465430,25571494599330,
%U A112504 143839855533270,795332428661055,4333564250230845,23317657891319095
%N A112504 Fifth column of triangle A112500.
%C A112504 For a combinatorial formula see A112500, case k=5.
%H A112504 <a href="/index/Rec#order_15">Index entries for linear recurrences with constant coefficients</a>, signature (35, -560, 5432, -35714, 168542, -589632, 1556776, -3126949, 4777591, -5506936, 4703032, -2881136, 1195632, -300672, 34560).
%F A112504 G.f.: 1/product((1-j*x)^(6-j), j=1..5) = 1/(((1-x)^5)*((1-2*x)^4)*((1-3*x)^3)*((1-4*x)^2)*(1-5*x)).
%F A112504 a(n) computable from partial fraction decomposition of g.f. Cf. A112503.
%t A112504 CoefficientList[Series[1/Product[(1-j*x)^(6-j),{j,1,5}],{x,0,20}],x] (* _Georg Fischer_, Jul 10 2025 *)
%Y A112504 Cf. A112500, A112502, A112503.
%K A112504 nonn,easy
%O A112504 0,2
%A A112504 _Wolfdieter Lang_, Oct 14 2005