A167019 - OEIS

A167019

Column 3 of triangle T=A167015: a(n) = T(n+3,3) = [T^(n+3)](n-1,0) for n>0 with a(0)=1.

1, 1, 5, 27, 203, 2002, 24429, 353300, 5877619, 110140398, 2289730547, 52215711142, 1294830014579, 34674182292270, 997028749972868, 30635875305295776, 1001785692746640031, 34734713374858593257

(list; graph; refs; listen; history; text; internal format)

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..17.

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]))}

{a(n)=A167015(n+3, 3)}

CROSSREFS

Cf. A167015, A167016, A167017, A167018.

Sequence in context: A023811 A126119 A105631 * A376587 A356538 A342904

Adjacent sequences: A167016 A167017 A167018 * A167020 A167021 A167022

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Oct 27 2009

STATUS

approved