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 A226941 #31 Aug 11 2020 01:38:56 %S A226941 1,35,798,15178,262739,4310073,68451856,1065454016,16372593237, %T A226941 249520885471,3782278181474,57129692163414,860905800344695, %U A226941 12953222527379429,194694881199600852,2924389779305546572,43905519073297744313,658979550560400579147,9888661146758667705190 %N A226941 Expansion of 1/((1-x)(1-3x)(1-6x)(1-10x)(1-15x)). %C A226941 Note that the denominator has 5 triangular numbers: 1, 3, 6, 10, and 15. %H A226941 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (35,-427,2193,-4500,2700). %F A226941 a(n) = (15^(n+4) - 6*10^(n+4) + 14*6^(n+4) - 15*3^(n+4) + 6)/7560. %F A226941 a(n) = 35*a(n-1) - 427*a(n-2) + 2193*a(n-3) - 4500*a(n-4) + 2700*a(n-5) for n > 5. - _Chai Wah Wu_, Aug 10 2020 %Y A226941 Column k = 4 of A080248. Cf. A003462, A016211, A021514. %K A226941 nonn %O A226941 1,2 %A A226941 _Yahia Kahloune_, Jun 23 2013