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 A131352 #17 Dec 04 2021 12:42:10 %S A131352 1,2,6,14,32,72,160,352,768,1664,3584,7680,16384,34816,73728,155648, %T A131352 327680,688128,1441792,3014656,6291456,13107200,27262976,56623104, %U A131352 117440512,243269632,503316480,1040187392,2147483648,4429185024 %N A131352 Row sums of triangle A133935. %H A131352 Harvey P. Dale, <a href="/A131352/b131352.txt">Table of n, a(n) for n = 0..1000</a> %H A131352 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (4,-4). %F A131352 Binomial transform of A093178: (1, 1, 3, 1, 5, 1, 7, 1...) %F A131352 a(n) = A129954(n), n>1. G.f.: (1-2x+2x^2-2x^3)/(1-2x)^2. [_R. J. Mathar_, Dec 13 2008] %F A131352 a(n) = 2^(n-2)*(n+4) for n>1. - __Colin Barker_, Jun 05 2012 %e A131352 a(3) = 14 = sum of row 3 terms of triangle A133935: (1 + 3 + 9 + 1); = (1, 3, 3, 1) dot (1, 1, 3, 1). %t A131352 CoefficientList[Series[(1-2x+2x^2-2x^3)/(1-2x)^2,{x,0,40}],x] (* or *) LinearRecurrence[{4,-4},{1,2,6,14},40] (* _Harvey P. Dale_, Dec 04 2021 *) %Y A131352 Cf. A133935, A093178. %K A131352 nonn,easy %O A131352 0,2 %A A131352 _Gary W. Adamson_, Sep 29 2007 %E A131352 Extended by _R. J. Mathar_, Dec 13 2008