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 A067337 #4 Mar 30 2012 18:51:35
%S A067337 1,1,1,1,2,3,1,3,5,9,1,4,8,14,27,1,5,12,22,41,81,1,6,17,34,63,122,243,
%T A067337 1,7,23,51,97,185,365,729,1,8,30,74,148,282,550,1094,2187,1,9,38,104,
%U A067337 222,430,832,1644,3281,6561,1,10,47,142,326,652,1262,2476,4925,9842
%N A067337 Triangle where T(n,k)=2*T(n,k-1)+C(n-1,k)-C(n-1,k-1) and n>=k>=0.
%F A067337 T(n, k)=2*T(n, k-1)+A037012(n, k). T(n, k)=T(n-1, k-1)+T(n-1, k) if k<n. T(n, n)=Sum_{j<n}T(n, j)=3^(n-1) if n>0.
%e A067337 Rows start 1; 1,1; 1,2,3; 1,3,5,9; 1,4,8,14,27; etc. T(4,0)=2*0+1-0=1; T(4,1)=2*1+3-1=4; T(4,2)=2*4+3-3=8; T(4,3)=2*8+1-3=14; T(4,4)=2*14+0-1=27.
%Y A067337 Row sums are A025192. Columns include A000012, A000027 and A022856 (essentially). Right hand columns include A000244 (essentially), A007051 and A047926. Central diagonal is A067336.
%K A067337 nonn,tabl
%O A067337 0,5
%A A067337 _Henry Bottomley_, Jan 15 2002