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%I #5 Jun 14 2017 00:27:54
%S 1,8,72,880,16032,461992,21944520,1770483408,248136807776,
%T 61460157645704,27267123945408968,21902527945097597616,
%U 32134030755805852610720,86739696410985770930422760
%N Column 3 of triangle A129100; also equals column 0 of matrix power A129100^8.
%o (PARI) a(n)=local(A=Mat(1),B);for(m=1,n+4,B=matrix(m,m);for(r=1,m,for(c=1,r, if(r==c || r==1 || r==2,B[r,c]=1,if(c==1,B[r,1]=sum(i=1,r-1,A[r-1,i]), B[r,c]=(A^(2^(c-1)))[r-c+1,1])); )); A=B); return(A[n+4,4])
%Y Cf. A129100 (triangle); A129092 (column 0), A129101 (column 1), A129102 (column 2).
%K nonn
%O 0,2
%A _Paul D. Hanna_, Mar 29 2007