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Column 0 of triangle A121420.
8

%I #6 Mar 30 2012 18:36:58

%S 1,3,12,76,711,9054,147471,2938176,69328365,1891371807,58575539361,

%T 2030011517685,77827890696820,3270046577551695,149407542447596319,

%U 7374639622066056408,391044078030333899385,22168014954558449549349

%N Column 0 of triangle A121420.

%C Also column 2 of square array A136733.

%C A121420 is the matrix cube 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+1, 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^3)[n+1, 1])}

%Y Cf. A121420 (triangle); other columns: A121422, A121423.

%Y Cf. A136733; A101483, A121418; A121425.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Aug 23 2006

%E Edited by _N. J. A. Sloane_, Oct 30 2008 at the suggestion of R. J. Mathar