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 A362179 #11 Apr 17 2023 06:35:17
%S A362179 1,1,4,10,25,61,146,344,800,1840,4192,9472,21248,47360,104960,231424,
%T A362179 507904,1110016,2416640,5242880,11337728,24444928,52559872,112721920,
%U A362179 241172480,514850816,1096810496,2332033024,4949278720,10485760000,22179479552,46841987072
%N A362179 Main diagonal of the square array A058395.
%C A362179 Binomial transform of 1, 0, 3, 0, 6, 0, 10, 0, 15, 0, ... (triangular numbers alternating with zeros).
%H A362179 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (6,-12,8).
%F A362179 a(n) = 6*a(n-1) - 12*a(n-2) + 8*a(n-3) for n > 5.
%F A362179 a(n) = A158920(n+1) - A158920(n).
%F A362179 a(n) = Sum_{k=0..n} A007318(n,k)*A008805(k)*(1 + (-1)^k)/2.
%F A362179 G.f.: (1-x)^5/(1-2*x)^3.
%Y A362179 Cf. A000217, A007318, A008805, A058395, A158920.
%K A362179 nonn,easy
%O A362179 0,3
%A A362179 _Philippe Deléham_, Apr 10 2023