

A052985


Expansion of ( 1x ) / ( 13*x+x^2x^3+x^4 ).


0



1, 2, 5, 14, 38, 103, 280, 761, 2068, 5620, 15273, 41506, 112797, 306538, 833050, 2263903, 6152400, 16719809, 45437880, 123482328, 335576513, 911965282, 2478363781, 6735220246, 18303685726, 49742235431, 135179877032
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OFFSET

0,2


LINKS

Table of n, a(n) for n=0..26.
INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 1059
Index entries for linear recurrences with constant coefficients, signature (3,1,1,1)


FORMULA

G.f.: (1+x)/(13*xx^3+x^4+x^2)
Recurrence: {a(0)=1, a(1)=2, a(2)=5, a(3)=14, a(n)a(n+1)+a(n+2)3*a(n+3)+a(n+4)=0}
Sum(1/1099*(27011*_alpha+141*_alpha^3104*_alpha^2)*_alpha^(1n), _alpha=RootOf(13*_Z_Z^3+_Z^4+_Z^2))


MAPLE

spec := [S, {S=Sequence(Union(Prod(Union(Prod(Z, Z), Sequence(Z)), Z), Z))}, unlabeled ]: seq(combstruct[count ](spec, size=n), n=0..20);


CROSSREFS

Sequence in context: A172259 A292327 A084085 * A052945 A026288 A047086
Adjacent sequences: A052982 A052983 A052984 * A052986 A052987 A052988


KEYWORD

easy,nonn


AUTHOR

encyclopedia(AT)pommard.inria.fr, Jan 25 2000


EXTENSIONS

More terms from James A. Sellers, Jun 05 2000


STATUS

approved



