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.

A144516 a(n) = (15*n^2+45*n-70)*binomial(n+4,6)/8.

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%I A144516 #8 Jul 23 2019 15:06:21
%S A144516 0,0,10,175,1225,5565,19425,56595,144375,332475,705705,1401400,
%T A144516 2632630,4718350,8121750,13498170,21754050,34118490,52229100,78233925,
%U A144516 114911335,165809875,235410175,329311125,454442625,619307325,834253875,1111784310
%N A144516 a(n) = (15*n^2+45*n-70)*binomial(n+4,6)/8.
%H A144516 <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (9,-36,84,-126,126,-84,36,-9,1).
%F A144516 G.f.: 5x^2(2+17x+2x^2)/(1-x)^9. - _R. J. Mathar_, Jan 17 2009
%p A144516 f:=n->(15*n^2+45*n-70)*binomial(n+4,6)/8;
%t A144516 Table[((15n^2+45n-70)Binomial[n+4,6])/8,{n,0,30}] (* _Harvey P. Dale_, Dec 12 2018 *)
%Y A144516 A diagonal of A144385.
%K A144516 nonn
%O A144516 0,3
%A A144516 _N. J. A. Sloane_, Dec 17 2008