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A265094
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a(n) = q(n)^n, where q(n) = partition numbers into distinct parts (A000009).
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4
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1, 1, 1, 8, 16, 243, 4096, 78125, 1679616, 134217728, 10000000000, 743008370688, 129746337890625, 20822964865671168, 6221821273427820544, 2954312706550833698643, 1208925819614629174706176, 718325266223569592115396608, 850434696123579966501779931136
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OFFSET
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0,4
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LINKS
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FORMULA
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a(n) ~ exp(n^(3/2)*Pi/sqrt(3) + (Pi/(48*sqrt(3)) - 3*sqrt(3)/(8*Pi))*sqrt(n) - 1/32 - 9/(16*Pi^2)) / (3^(n/4) * 4^n * n^(3*n/4)).
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MATHEMATICA
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Table[PartitionsQ[n]^n, {n, 0, 20}]
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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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