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 A134350 #17 Jul 03 2023 08:47:38 %S A134350 1,7,23,67,191,547,1583,4627,13631,40387,120143,358387,1071071,3205027 %N A134350 Row sums of triangle A134349. %H A134350 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (6, -11, 6). %F A134350 Binomial transform of A134351 and double binomial transform of [1, 5, -1, 5, -1, 5, -1, 5, ...]. %F A134350 Conjecture from _Colin Barker_, Mar 13 2014: (Start) %F A134350 a(n) = 2^n + 2*3^(n-1) - 3. %F A134350 a(n) = 5*a(n-1) - 5*a(n-2) - 5*a(n-3) + 6*a(n-4). %F A134350 G.f.: x*(8*x^2-x-1) / ((x-1)*(2*x-1)*(3*x-1)). %F A134350 (End) %e A134350 a(3) = 23 = sum of row 3 terms of triangle A134349: (2 + 8 + 13). %e A134350 a(3) = 23 = (1, 2, 1) dot (1, 6, 10) = (1 + 12 + 10), where A134351 = (1, 6, 10, 128, 34, 66, ...). %Y A134350 Cf. A134349, A134351. %K A134350 nonn,more %O A134350 1,2 %A A134350 _Gary W. Adamson_, Oct 21 2007