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.

A096200 a(n) = n*(n-1)*(n-2)*(3*n-2)/6.

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%I A096200 #14 Sep 01 2023 03:29:42
%S A096200 0,0,0,7,40,130,320,665,1232,2100,3360,5115,7480,10582,14560,19565,
%T A096200 25760,33320,42432,53295,66120,81130,98560,118657,141680,167900,
%U A096200 197600,231075,268632,310590,357280,409045,466240,529232,598400,674135,756840,846930,944832
%N A096200 a(n) = n*(n-1)*(n-2)*(3*n-2)/6.
%H A096200 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1).
%F A096200 From _Stefano Spezia_, Aug 31 2023: (Start)
%F A096200 G.f.: x^3*(7 + 5*x)/(1 - x)^5.
%F A096200 a(n+2) - a(n+1) = A051895(n). (End)
%t A096200 Table[n*(n-1)*(n-2)*(3*n-2)/6,{n,0,100}] (* _Vladimir Joseph Stephan Orlovsky_, Jun 03 2011 *)
%Y A096200 Cf. A051895.
%K A096200 nonn,easy
%O A096200 0,4
%A A096200 _N. J. A. Sloane_, Jul 27 2004