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.
%I A379540 #5 Dec 26 2024 10:16:03
%S A379540 0,0,3,16,60,168,385,768,1386,2320,3663,5520,8008,11256,15405,20608,
%T A379540 27030,34848,44251,55440,68628,84040,101913,122496,146050,172848,
%U A379540 203175,237328,275616,318360,365893,418560,476718,540736,610995,687888,771820,863208,962481,1070080,1186458
%N A379540 Row sums of A376832.
%H A379540 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1).
%F A379540 a(n) = (n^4 - 3*n^3 + 3*n^2 + 3*n - 4)/2 for n > 0 with a(0) = 0.
%F A379540 a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5) for n > 5.
%F A379540 G.f.: x^2*(3 + x + 10*x^2 - 2*x^3)/(1 - x)^5.
%F A379540 E.g.f.: 2 + exp(x)*(x^4 + 3*x^3 + x^2 + 4*x - 4)/2.
%t A379540 LinearRecurrence[{5,-10,10,-5,1},{0,0,3,16,60,168},41]
%Y A379540 Cf. A376832.
%K A379540 nonn,easy
%O A379540 0,3
%A A379540 _Stefano Spezia_, Dec 24 2024