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A226391
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a(n) = Sum_{k=0..n} binomial(k*n, k).
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8
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1, 2, 9, 103, 2073, 58481, 2101813, 91492906, 4671050401, 273437232283, 18046800575211, 1325445408799007, 107200425419863009, 9466283137384124247, 906151826270369213655, 93459630239922214535911, 10331984296666203358431361, 1218745075041575200343722415
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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) ~ binomial(n^2, n).
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MATHEMATICA
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Table[Sum[Binomial[k*n, k], {k, 0, n}], {n, 0, 20}]
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PROG
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(Magma) [(&+[Binomial(n*j, j): j in [0..n]]): n in [0..30]]; // G. C. Greubel, Aug 31 2022
(SageMath)
@CachedFunction
def A226391(n): return sum(binomial(n*j, j) for j in (0..n))
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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