

A167019


Column 3 of triangle T=A167015: a(n) = T(n+3,3) = [T^(n+3)](n1,0) for n>0 with a(0)=1.


4



1, 1, 5, 27, 203, 2002, 24429, 353300, 5877619, 110140398, 2289730547, 52215711142, 1294830014579, 34674182292270, 997028749972868, 30635875305295776, 1001785692746640031, 34734713374858593257
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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==kn==k+1, 1, if(n==k+2, k+2, N=matrix(n, n, r, c, if(r>=c, A167015(r1, c1))); M=matrix(n+1, n+1, r, c, if(r>=c, if(r<=n, N[r, c], (N^n)[nk, 1]))); M[n+1, k+1]))}
(PARI) {a(n)=A167015(n+3, 3)}


CROSSREFS

Cf. A167015, A167016, A167017, A167018.
Sequence in context: A023811 A126119 A105631 * A230563 A204266 A266204
Adjacent sequences: A167016 A167017 A167018 * A167020 A167021 A167022


KEYWORD

nonn


AUTHOR

Paul D. Hanna, Oct 27 2009


STATUS

approved



