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%I #5 Jun 13 2017 23:38:41
%S 1,2,4,9,23,68,232,909,4061,20538,116736,740473,5206295,40317216,
%T 341837416,3156076177,31572353377,340658773754,3948027171748,
%U 48959894881537,647431703490895,9100410418912740,135573816069186800
%N Row sums of triangle A113993, where column k equals column 0 of A113983^(k+1).
%e Triangle A113993 begins:
%e 1;
%e 1,1;
%e 1,2,1;
%e 1,4,3,1;
%e 1,8,9,4,1;
%e 1,18,27,16,5,1;
%e 1,46,89,64,25,6,1;
%e 1,136,327,276,125,36,7,1;
%e 1,464,1353,1304,665,216,49,8,1; ...
%o (PARI) a(n)=local(A,B);A=Mat(1);for(m=2,n+2,B=matrix(m,m); for(i=1,m, for(j=1,i,if(i<3 || j==1 || j==i,B[i,j]=1, B[i,j]=A[i-1,j-1]+(A^2)[i-2,j-1] );));A=B); sum(k=0,n,(A^(k+1))[n-k+1,1])
%Y Cf. A113993, A113989 (column 1), A113994 (column 2), A113995 (column 3), A113996 (column 4), A113983.
%K nonn
%O 0,2
%A _Paul D. Hanna_, Nov 12 2005
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