A134524 Column 1 of triangle T=A134523, also equals column 0 of the matrix power T^3, where column k of T = column 0 of matrix power T^{(k+1)(k+2)/2} for k>=0.

1, 3, 12, 75, 744, 11181, 242835, 7330930, 297801232, 15839503630, 1077837497949, 92001213821228, 9684980747377593, 1239048275916503276, 190191205778008667316, 34634317805556075695994

Offset

0,2

Links

Table of n, a(n) for n=0..15.

Prog

(PARI) a(n)=local(A, B); A=matrix(1, 1); A[1, 1]=1; for(m=2, n+2, B=matrix(m, m); for(i=1, m, for(j=1, i, if(i<3 || j==i || j>m-1, B[i, j]=1, if(j==1, B[i, 1]=1, B[i, j]=(A^(j*(j+1)/2))[i-j+1, 1])); )); A=B); A[n+2, 2]

Crossrefs

Cf. A134523 (triangle); other columns: A134525, A134526.

Sequence in context: A238630 A247330 A168366 * A120591 A247057 A032114

Adjacent sequences: A134521 A134522 A134523 * A134525 A134526 A134527

Keyword

nonn

Author

Paul D. Hanna, Nov 15 2007

Status

approved