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 A245560 #7 Aug 07 2014 22:50:36 %S A245560 1,2,6,14,36,82,196,436,1000,2186,4884,10540,23128,49428,107048, %T A245560 227048,486864,1026394,2183860,4581244,9686776,20237372,42571896, %U A245560 88632664,185653936,385380932,804316296,1665340856,3464899440,7158117736,14853106384 %N A245560 Row sums of triangle in A144480. %F A245560 From _N. J. A. Sloane_, Aug 07 2014: if n is even, a(n) = (n+2)*2^(n-1)-(n/2)*binomial(n,n/2) otherwise a(n) = (n+2)*2^(n-1)-((n+1)/4)*binomial(n+1,(n+1)/2). This follows easily from the definition. %p A245560 f:=n->if (n mod 2) = 0 then (n+2)*2^(n-1)-(n/2)*binomial(n,n/2) %p A245560 else (n+2)*2^(n-1)-((n+1)/4)*binomial(n+1,(n+1)/2); fi; %p A245560 [seq(f(n),n=0..40)]; %Y A245560 Cf. A144480. %K A245560 nonn,easy %O A245560 0,2 %A A245560 _Roger L. Bagula_, Oct 11 2008 %E A245560 Edited with more terms by _N. J. A. Sloane_, Aug 07 2014