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A084631
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a(n) = floor(C(n+8,8)/C(n+2,2)).
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7
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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
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = 1 + floor(n*(n+11)*(n^4 +22*n^3 +203*n^2 +902*n +2232)/20160).
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MATHEMATICA
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Floor[Binomial[Range[0, 50] +8, 6]/28] (* G. C. Greubel, Mar 23 2023 *)
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PROG
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(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
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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