A099560 -id:A099560 - cp's OEIS frontend

A099561 Sum C(n-3k,k-1), k=0..floor(n/4).

0, 0, 0, 0, 1, 1, 1, 1, 3, 4, 5, 6, 10, 14, 19, 25, 36, 50, 69, 94, 131, 181, 250, 344, 476, 657, 907, 1251, 1728, 2385, 3292, 4543, 6272, 8657, 11949, 16492, 22765, 31422, 43371, 59863, 82629, 114051, 157422, 217285, 299915, 413966, 571388, 788673

Offset: 0

Paul Barry, Oct 22 2004

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

Cf. A074331, A099560, A099562.

G.f.: x^4/((1-x^4)(1-x-x^4)); a(n)=a(n-1)+2a(n-4)-a(n-5)-a(n-8).

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

Original entry on oeis.org

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

Paul Barry, Oct 22 2004

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

Cf. A075331, A099560, A099561.

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 *)

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).

cp's OEIS Frontend

A099561 Sum C(n-3k,k-1), k=0..floor(n/4).

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