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.

A214616 n*(n+1)*(n+2)*(n+3)*(20*n^2+72*n+43)/360.

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%I A214616 #11 Jun 13 2015 00:54:18
%S A214616 0,9,89,439,1519,4214,10038,21378,41778,76263,131703,217217,344617,
%T A214616 528892,788732,1147092,1631796,2276181,3119781,4209051,5598131,
%U A214616 7349650,9535570,12238070,15550470,19578195,24439779,30267909,37210509,45431864,55113784
%N A214616 n*(n+1)*(n+2)*(n+3)*(20*n^2+72*n+43)/360.
%C A214616 Second but last (highest) coefficient of the Meixner polynomial M_n(x); 5th column of A060338.
%H A214616 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7, -21, 35, -35, 21, -7, 1).
%F A214616 G.f. -x*(9+26*x+5*x^2) / (x-1)^7 .
%p A214616 A214616 := proc(n)
%p A214616     n*(n+1)*(n+2)*(n+3)*(20*n^2+72*n+43)/360 ;
%p A214616 end proc:
%t A214616 Table[Times@@(n+Range[0,3])(20n^2+72n+43)/360,{n,0,30}] (* or *) LinearRecurrence[ {7,-21,35,-35,21,-7,1},{0,9,89,439,1519,4214,10038},40] (* _Harvey P. Dale_, Dec 24 2014 *)
%K A214616 nonn,easy
%O A214616 0,2
%A A214616 _R. J. Mathar_, Mar 06 2013