A132613 Column 2 of triangle A132610.

1, 1, 6, 76, 1510, 41121, 1424178, 59857416, 2957282370, 167852629965, 10757980606208, 768190770422700, 60461731639747100, 5199414726620992073, 484974399630368105130, 48763257278485285019472

Offset

0,3

Comments

Triangle T=A132610 is generated by even matrix powers of itself such that row n+1 of T = row n of T^(2n) with appended '1' for n>=0 with T(0,0)=1.

Links

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

Prog

(PARI) {a(n)=local(A=vector(n+3), p); A[1]=1; for(j=1, n-1, p=(n+1)^2-(n-j+1)^2; A=Vec((Polrev(A)+x*O(x^p))/(1-x))); A=Vec((Polrev(A)+x*O(x^p))/(1-x)); A[p+1]}

Crossrefs

Cf. A132610 (triangle); other columns: A132611, A132612; A132614.

Sequence in context: A145165 A336713 A218303 * A009763 A340886 A305999

Adjacent sequences: A132610 A132611 A132612 * A132614 A132615 A132616

Keyword

nonn

Author

Paul D. Hanna, Aug 23 2007

Status

approved