

A200676


Expansion of (3*x^25*x+1)/(x^33*x^2+5*x1).


4



1, 0, 0, 1, 5, 22, 96, 419, 1829, 7984, 34852, 152137, 664113, 2899006, 12654828, 55241235, 241140697, 1052634608, 4594992184, 20058197793, 87558647021, 382213633910, 1668450426280, 7283169876691, 31792711738525, 138782499488832, 605817532105276
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OFFSET

0,5


COMMENTS

Peter Lawrence (see links) has posted a challenge to find a 3x3 integer matrix with "smallish" elements whose powers generate a sequence that is not in the OEIS. This sequence is one of the solutions found.


LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..500
Peter Lawrence et al., sequence challenge and followup messages on the SeqFan list, Nov 21 2011
Index entries for linear recurrences with constant coefficients, signature (5,3,1)


FORMULA

G.f.: (3*x^25*x+1)/(x^33*x^2+5*x1).
Term (1,1) in the 3x3 matrix [0,1,0; 0,0,1; 1,3,5]^n.


MAPLE

a:= n> (<<010>, <001>, <135>>^n)[1, 1]:
seq(a(n), n=0..30);


CROSSREFS

Cf. A200739.
Sequence in context: A026888 A266430 A083586 * A129158 A129164 A123347
Adjacent sequences: A200673 A200674 A200675 * A200677 A200678 A200679


KEYWORD

nonn,easy


AUTHOR

Alois P. Heinz, Nov 21 2011


STATUS

approved



