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 A323228 #4 Feb 12 2019 15:57:00 %S A323228 1,2,7,22,57,127,253,463,793,1288,2003,3004,4369,6189,8569,11629, %T A323228 15505,20350,26335,33650,42505,53131,65781,80731,98281,118756,142507, %U A323228 169912,201377,237337,278257,324633,376993,435898,501943,575758,658009,749399,850669 %N A323228 a(n) = binomial(n + 4, n - 1) + 1. %F A323228 a(n) = 1 + Pochhammer(n, 5)/5!. %F A323228 a(n) = [x^n] (x - (x - 1)^5)/(x - 1)^6. %p A323228 aList := proc(len) local gf, ser: %p A323228 gf := (x - (x - 1)^5)/(x - 1)^6: %p A323228 ser := series(gf, x, len+2): %p A323228 seq(coeff(ser, x, n), n=0..len) end: aList(38); %t A323228 Table[Binomial[n + 4, n - 1] + 1, {n, 0, 37}] %Y A323228 A040000 (m=1), A000027 (m=2), A000124 (m=3), A050407 (m=4), A145126 (m=5), this sequence (m=6). %K A323228 nonn,easy %O A323228 0,2 %A A323228 _Peter Luschny_, Feb 12 2019