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 A084631 a(n) = floor(C(n+8,8)/C(n+2,2)). 7

%I #5 Mar 23 2023 19:34:04

%S 1,3,7,16,33,61,107,178,286,442,663,969,1384,1938,2664,3605,4807,6325,

%T 8222,10571,13455,16965,21206,26295,32364,39556,48032,57970,69564,

%U 83028,98595,116522,137085,160585,187349,217730,252109,290895,334529,383484

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

%H G. C. Greubel, <a href="/A084631/b084631.txt">Table of n, a(n) for n = 0..5000</a>

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

%t Floor[Binomial[Range[0,50] +8, 6]/28] (* _G. C. Greubel_, Mar 23 2023 *)

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

%o (SageMath) [binomial(n+8,6)//28 for n in range(51)] # _G. C. Greubel_, Mar 23 2023

%Y Cf. A084626.

%K easy,nonn

%O 0,2

%A _Paul Barry_, Jun 01 2003

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Last modified September 23 17:20 EDT 2023. Contains 365554 sequences. (Running on oeis4.)