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A130019 A doubly recursive vector matrix Markov ( both the vector and matrix iterate): matrix:M(n)={{0, 1, 0}, {0, 0, 1}, {6 - 2*n, -11 + n, 6}} characteristic polynomials:(6 - 2 n - 11 x + n x + 6 x^2 - x^3). 0
0, 0, 1, 6, 27, 114, 483, 2106, 9537, 44934, 219933, 1115286, 5842707, 31537314, 174991443, 996169146, 5808168297, 34633891734, 210943794093, 1310837402646, 8302614222507, 53552183145234, 351468155184003, 2345436650546106 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

This sequence seems to be one of a triangle of n level polynomials: -n -(2-n)+x 4 - n - 4 x + x^2 6 - 2 n - 11 x + n x + 6 x^2 - x^3 etc.

LINKS

Table of n, a(n) for n=1..24.

FORMULA

M(n)={{0, 1, 0}, {0, 0, 1}, {6 - 2*n, -11 + n, 6}} v(n)=M(n).v(n-1) a(n) = v(n)[[1]];

MATHEMATICA

M[0] = {{0, 1, 0}, {0, 0, 1}, {6, -11, 6}}; M[n_] := {{0, 1, 0}, {0, 0, 1}, {6 - 2*n, -11 + n, 6}} v[0] = {0, 0, 1}; v[n_] := v[n] = M[n].v[n - 1] a = Table[v[n][[1]], {n, 0, 30}]

CROSSREFS

Sequence in context: A079742 A291232 A171475 * A196919 A049651 A109114

Adjacent sequences:  A130016 A130017 A130018 * A130020 A130021 A130022

KEYWORD

nonn,uned

AUTHOR

Roger L. Bagula, Jun 16 2007

STATUS

approved

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Last modified February 20 15:02 EST 2018. Contains 299380 sequences. (Running on oeis4.)