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A336829
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a(n) = Sum_{k=0..n} binomial(n+k,k)^n.
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2
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1, 3, 46, 9065, 25561876, 1048567813062, 632156164654144530, 5652307059542612442465921, 755658094192422806457805924637704, 1521188219372604726826961340683399629967888, 46388428590466766659538640978460161019178279424832676
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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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MATHEMATICA
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Table[Sum[Binomial[n + k, k]^n, {k, 0, n}], {n, 0, 10}]
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PROG
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(PARI) a(n) = sum(k=0, n, binomial(n+k, k)^n); \\ Michel Marcus, Aug 05 2020
(Magma) [(&+[Binomial(2*n-j, n)^n: j in [0..n]]): n in [0..20]]; // G. C. Greubel, Aug 31 2022
(SageMath)
def A336829(n): return sum(binomial(2*n-j, n)^n 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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