A167017 Column 1 of triangle T=A167015: a(n) = T(n+1,1) = [T^(n+1)](n-1,0) for n>0 with a(0)=1.

1, 1, 3, 14, 105, 1080, 13916, 212634, 3723198, 73047825, 1581256303, 37350588290, 954796686233, 26246234745486, 771853099673490, 24180166328032252, 803996438505301917, 28283254774663359546, 1049653570430645994556

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+1, 1)}

Crossrefs

Cf. A167015, A167016, A167018, A167019.

Sequence in context: A084420 A163882 A271213 * A051106 A246731 A349584

Adjacent sequences: A167014 A167015 A167016 * A167018 A167019 A167020

Keyword

nonn

Author

Paul D. Hanna, Oct 27 2009

Status

approved