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 A143058 #8 Feb 08 2022 22:25:44 %S A143058 1,7,20,41,71,111,162,225,301,391,496,617,755,911 %N A143058 A007318 * [1, 6, 7, 1, 0, 0, 0, ...]. %F A143058 Binomial transform of [1, 6, 7, 1, 0, 0, 0, ...], where (1, 6, 7, 1) = row 3 of triangle A008278. %F A143058 From _Colin Barker_, Jul 24 2012: (Start) %F A143058 Conjecture: a(n) = (6 - 16*n + 15*n^2 + n^3)/6. %F A143058 G.f.: -x*(x^3+2*x^2-3*x-1)/(x-1)^4. (End) %e A143058 a(4) = 41 = (1, 3, 3, 1) dot (1, 6, 7, 1) = (1 + 18 + 21 + 1). %Y A143058 Cf. A008278. %K A143058 nonn %O A143058 1,2 %A A143058 _Gary W. Adamson_, Jul 20 2008