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 A132074 #15 Mar 05 2022 01:01:36 %S A132074 1,4,9,16,27,46,81,148,279,538,1053,2080,4131,8230,16425,32812,65583, %T A132074 131122,262197,524344,1048635,2097214,4194369,8388676,16777287, %U A132074 33554506,67108941,134217808,268435539,536870998,1073741913,2147483740 %N A132074 Row sums of triangle A132073. %H A132074 Vincenzo Librandi, <a href="/A132074/b132074.txt">Table of n, a(n) for n = 0..1000</a> %H A132074 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (4,-5,2). [From _R. J. Mathar_, May 21 2010] %F A132074 Binomial transform of [1, 3, 2, 0, 2, 0, 2, 0, 2, ...]. %F A132074 From _R. J. Mathar_, May 21 2010: (Start) %F A132074 G.f.:= (2*x^2 + 2*x^3 - 1)/((2*x-1)*(x-1)^2). %F A132074 a(n) = 2^n + 3*n - 1, n > 0. (End) %F A132074 a(n) = 4*a(n-1) - 5*a(n-2) + 2*a(n-3). - _Vincenzo Librandi_, Jul 06 2012 %e A132074 a(4) = 27 = sum of row 4 terms of triangle A132073: (5 + 5 + 7 + 5 + 5). %e A132074 a(4) = 27 = (1, 4, 6, 4, 1) dot (1, 3, 2, 0, 2) = (1 + 12 + 12 + 0 + 2). %t A132074 CoefficientList[Series[(2*x^2+2*x^3-1)/((2*x-1)*(x-1)^2),{x,0,40}],x] (* _Vincenzo Librandi_, Jul 06 2012 *) %o A132074 (Magma) I:=[1, 4, 9, 16]; [n le 4 select I[n] else 4*Self(n-1)-5*Self(n-2)+2*Self(n-3): n in [1..40]]; // _Vincenzo Librandi_, Jul 06 2012 %Y A132074 Cf. A132073. %K A132074 nonn,easy %O A132074 0,2 %A A132074 _Gary W. Adamson_, Aug 09 2007 %E A132074 More terms from _R. J. Mathar_, May 21 2010