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A342294
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a(n) = Sum_{k = 0..n} binomial(n,k)^11.
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12
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1, 2, 2050, 354296, 371185666, 200097656252, 222100237312864, 193798873701831680, 231719476114879600642, 257097895846251291074612, 330463219813679264204224300, 419460465362069257397304825200, 573863850341313751827291703127200
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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) ~ 2^(p*n)/sqrt(p) * (2/(Pi*n))^((p-1)/2) * (1 - (p-1)^2/(4*p*n)), set p=11. - Vaclav Kotesovec, Aug 04 2022
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PROG
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(PARI) a(n) = sum(k=0, n, binomial(n, k)^11); \\ Michel Marcus, Mar 27 2021
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CROSSREFS
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Sum_{k = 0..n} C(n,k)^m for m = 1..12: A000079, A000984, A000172, A005260, A005261, A069865, A182421, A182422, A182446, A182447, A342294, A342295.
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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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