A099562 Sum C(n-4k,k-1), k=0..floor(n/5).

0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 4, 5, 6, 7, 11, 15, 20, 26, 33, 45, 60, 80, 106, 139, 185, 245, 325, 431, 570, 756, 1001, 1326, 1757, 2327, 3084, 4085, 5411, 7168, 9495, 12580, 16665, 22076, 29244, 38739, 51320, 67985, 90061, 119305, 158044, 209365

Offset

0,11

Links

Table of n, a(n) for n=0..50.

Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,2,-1,0,0,0,-1).

Formula

G.f.: x^5/((1-x^5)(1-x-x^5)); a(n)=a(n-1)+2a(n-5)-a(n-6)-a(n-10).

Mathematica

Table[Sum[Binomial[n-4k, k-1], {k, 0, Floor[n/5]}], {n, 0, 60}] (* or *) LinearRecurrence[{1, 0, 0, 0, 2, -1, 0, 0, 0, -1}, {0, 0, 0, 0, 0, 1, 1, 1, 1, 1}, 60] (* Harvey P. Dale, Jul 14 2015 *)

Crossrefs

Cf. A075331, A099560, A099561.

Sequence in context: A354270 A137922 A176984 * A210450 A133896 A052002

Adjacent sequences: A099559 A099560 A099561 * A099563 A099564 A099565

Keyword

easy,nonn

Author

Paul Barry, Oct 22 2004

Status

approved