A084631 - OEIS

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A084631

a(n) = floor(C(n+8,8)/C(n+2,2)).

1, 3, 7, 16, 33, 61, 107, 178, 286, 442, 663, 969, 1384, 1938, 2664, 3605, 4807, 6325, 8222, 10571, 13455, 16965, 21206, 26295, 32364, 39556, 48032, 57970, 69564, 83028, 98595, 116522, 137085, 160585, 187349, 217730, 252109, 290895, 334529, 383484

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..5000

FORMULA

a(n) = 1 + floor(n*(n+11)*(n^4 +22*n^3 +203*n^2 +902*n +2232)/20160).

MATHEMATICA

Floor[Binomial[Range[0, 50] +8, 6]/28] (* G. C. Greubel, Mar 23 2023 *)

PROG

(Magma) [Floor(Binomial(n+8, 6)/28): n in [0..50]]; // G. C. Greubel, Mar 23 2023

(SageMath) [binomial(n+8, 6)//28 for n in range(51)] # G. C. Greubel, Mar 23 2023