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A323534
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a(n) = Product_{k=1..n} (binomial(k-1,6) + binomial(n-k,6)).
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7
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1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2551486386077798400, 4356795681519916813516800, 8378295212644383454317143654400, 17729411415388061815791372479702630400, 47314452412112353657024080317791118400000000, 160496342476959706163534573940481304027441961369600
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OFFSET
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0,13
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LINKS
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FORMULA
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a(n) ~ exp(-6*n + (15 - 4*sqrt(3))*Pi*(n-6)/6) * n^(6*n) / (6!)^n.
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MAPLE
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f:= proc(n) local k; mul(binomial(k-1, 6)+binomial(n-k, 6), k=1..n) end proc:
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MATHEMATICA
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Table[Product[Binomial[k-1, 6] + Binomial[n-k, 6], {k, 1, n}], {n, 0, 20}]
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PROG
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(PARI) a(n) = prod(k=1, n, binomial(k-1, 6) + binomial(n-k, 6)); \\ Daniel Suteu, Jan 17 2019
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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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