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Column 2 of triangle A121416.
4

%I #3 Mar 30 2012 18:36:58

%S 1,2,11,101,1305,21745,443329,10679494,296547736,9319259500,

%T 326788327650,12643827604842,534889691765631,24555735428777265,

%U 1215611513578215355,64542477563559758310,3658333757447085090365

%N Column 2 of triangle A121416.

%C A121416 is the matrix square of triangle A121412; row n of triangle T=A121412 equals row (n-1) of T^(n+1) with an appended '1'.

%o (PARI) {a(n)=local(A=Mat(1), B); for(m=1, n+3, B=matrix(m, m); for(i=1, m, for(j=1, i, if(j==i, B[i,j]=1, B[i, j]=(A^i)[i-1, j]); )); A=B); return((A^2)[n+3, 3])}

%Y Cf. A121416 (triangle); other columns: A121417, A121418.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Aug 22 2006