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 A132072 #9 Mar 05 2022 01:01:23 %S A132072 1,4,11,22,39,66,111,190,335,610,1143,2190,4263,8386,16607,33022, %T A132072 65823,131394,262503,524686,1049015,2097634,4194831,8389182,16777839, %U A132072 33555106,67109591 %N A132072 Row sums of triangle A132071. %H A132072 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (5,-9,7,-2) %F A132072 Binomial transform of [1, 3, 4, 0, 2, 0, 2, 0, 2, ...]. %F A132072 From _R. J. Mathar_, Apr 04 2012: (Start) %F A132072 G.f. 1 + x*(4 - 9*x + 3*x^2) / ( (2*x-1)*(x-1)^3 ). %F A132072 a(n) = 2^n + n^2 + 2*n-1, n > 0. (End) %e A132072 a(3) = 22 = sum of row 3 terms of triangle A132071: (4 + 7 + 7 + 4). %e A132072 a(3) = 22 = (1, 3, 3, 1) dot (1, 3, 4, 0) = (1 + 9 + 12 + 0). %Y A132072 Cf. A132071. %K A132072 nonn,easy %O A132072 0,2 %A A132072 _Gary W. Adamson_, Aug 09 2007