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 A133086 #17 Mar 07 2022 00:02:42 %S A133086 1,4,10,26,64,152,352,800,1792,3968,8704,18944,40960,88064,188416, %T A133086 401408,851968,1802240,3801088,7995392,16777216,35127296,73400320, %U A133086 153092096,318767104,662700032,1375731712,2852126720,5905580032,12213813248,25232932864 %N A133086 Row sums of triangle A133085. %H A133086 G. C. Greubel, <a href="/A133086/b133086.txt">Table of n, a(n) for n = 0..1000</a> %H A133086 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (4,-4). %F A133086 Binomial transform of A114753: (1, 3, 3, 7, 5, 11, 7, 15, ...). %F A133086 For n>1, a(n) = 2^n + 3*n*2^(n-2). - _R. J. Mathar_, Apr 04 2012 %e A133086 a(3) = 26 = sum of row 3 of triangle A133085: (12 + 8, + 5 + 1). %e A133086 a(3) = 26 = (1, 3, 3, 1) dot (1, 3, 3, 7) = (1 + 9 + 9 + 7). %t A133086 Join[{1, 4}, Table[2^n + 3*n*2^(n - 2), {n, 2, 50}]] (* _G. C. Greubel_, Oct 21 2017 *) %t A133086 LinearRecurrence[{4,-4},{1,4,10,26},40] (* _Harvey P. Dale_, Jul 19 2020 *) %o A133086 (PARI) concat([1,4], for(n=2,50, print1(2^n + 3*n*2^(n-2), ", "))) \\ _G. C. Greubel_, Oct 21 2017 %o A133086 (Magma) [1,4] cat [2^n+3*n*2^(n-2): n in [2..30]]; // _Vincenzo Librandi_, Oct 21 2017 %Y A133086 Cf. A133085, A114753, A133080. %K A133086 nonn %O A133086 0,2 %A A133086 _Gary W. Adamson_, Sep 08 2007