

A108210


Let M[n] be the 2 X 2 matrix {{0, 3}, {(n  1), 5*(n  1)}} and let v[1] = {0, 1}', v[n] = M[n]*v[n  1]'. Then a[n] is the first entry of v[n].


0



0, 3, 15, 132, 1845, 35316, 855225, 25021062, 857777445, 33710592312, 1493816663025, 73679515381890, 4003077396124125, 237532181213699460, 15283471760441624025, 1059866671619938304430, 78802244142275499751125
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,2


COMMENTS

Derangementtype quadratic Markov chain.


LINKS

Table of n, a(n) for n=1..17.


MATHEMATICA

M[n_] := {{0, 3}, {(n  1), 5*(n  1)}} v[1] = {0, 1} v[n_] := v[n] = M[n].v[n  1] a = Table[Abs[v[n][[1]]], {n, 1, 25}]


CROSSREFS

Cf. A000166.
Sequence in context: A228365 A117694 A222390 * A006717 A222263 A230166
Adjacent sequences: A108207 A108208 A108209 * A108211 A108212 A108213


KEYWORD

nonn


AUTHOR

Roger L. Bagula, Jun 15 2005


EXTENSIONS

Edited by N. J. A. Sloane, Mar 29 2007. The prime indicates transposition. Possible M should be transposed too, the Mathematica code is not clear to me.


STATUS

approved



