A134526 Column 3 of triangle T=A134523, also equals column 0 of the matrix power T^10, where column k of T = column 0 of matrix power T^{(k+1)(k+2)/2} for k>=0.

1, 10, 145, 2980, 83890, 3133720, 151359220, 9253115968, 703311701611, 65465796819199, 7366123073560513, 990631711148569192, 157661483179139961763, 29435041309710813208444

Offset

0,2

Links

Table of n, a(n) for n=0..13.

Prog

(PARI) a(n)=local(A, B); A=matrix(1, 1); A[1, 1]=1; for(m=2, n+4, 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+4, 4]

Crossrefs

Cf. A134523 (triangle); other columns: A134524, A134525.

Sequence in context: A027397 A305969 A081697 * A297714 A055761 A295524

Adjacent sequences: A134523 A134524 A134525 * A134527 A134528 A134529

Keyword

nonn

Author

Paul D. Hanna, Nov 15 2007

Status

approved