A167016 Column 0 of triangle T=A167015: a(n) = T(n,0) = [T^n](n-1,0) for n>0 with a(0)=1.

1, 1, 2, 9, 70, 755, 10166, 161350, 2917524, 58811631, 1302452122, 31362843270, 814897356483, 22712570157056, 675859219349848, 21387996239065027, 717377276724961024, 25427514619872897327, 949918395837579798600

Offset

0,3

Comments

In triangle T=A167015, row n of T equals the initial n terms in column 0 of matrix power T^n, reversed and with an appended '1'.

Links

Table of n, a(n) for n=0..18.

Prog

(PARI) {A167015(n, k)=local(M, N); if(n==k|n==k+1, 1, if(n==k+2, k+2, N=matrix(n, n, r, c, if(r>=c, A167015(r-1, c-1))); M=matrix(n+1, n+1, r, c, if(r>=c, if(r<=n, N[r, c], (N^n)[n-k, 1]))); M[n+1, k+1]))}
(PARI) {a(n)=A167015(n, 0)}

Crossrefs

Cf. A167015, A167017, A167018, A167019.

Sequence in context: A284762 A296718 A201862 * A300014 A108522 A014500

Adjacent sequences: A167013 A167014 A167015 * A167017 A167018 A167019

Keyword

nonn

Author

Paul D. Hanna, Oct 27 2009

Status

approved