A099101 Quintisection of 1/(1-x^3-x^4).

1, 0, 3, 5, 16, 43, 113, 316, 839, 2301, 6204, 16855, 45665, 123800, 335659, 909845, 2466760, 6686979, 18128529, 49145300, 133231279, 361184653, 979156724, 2654456239, 7196122817, 19508406192, 52886508243, 143373224101

Offset

0,3

Links

Table of n, a(n) for n=0..27.

Index entries for linear recurrences with constant coefficients, signature (0,5,6,1).

Formula

a(n)=sum{k=0..floor(5n/3), binomial(k, 5n-3k)}.

a(n)=A017817(5n).

G.f.: (1+x)*(x^2+x-1) / ( -1+5*x^2+6*x^3+x^4 ). - R. J. Mathar, Feb 19 2015

Crossrefs

Cf. A099099.

Sequence in context: A368409 A371868 A243321 * A208819 A038120 A192911

Adjacent sequences: A099098 A099099 A099100 * A099102 A099103 A099104

Keyword

easy,nonn,less

Author

Paul Barry, Sep 29 2004

Status

approved