A265094 - OEIS

A265094

a(n) = q(n)^n, where q(n) = partition numbers into distinct parts (A000009).

1, 1, 1, 8, 16, 243, 4096, 78125, 1679616, 134217728, 10000000000, 743008370688, 129746337890625, 20822964865671168, 6221821273427820544, 2954312706550833698643, 1208925819614629174706176, 718325266223569592115396608, 850434696123579966501779931136

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OFFSET

0,4

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..140

FORMULA

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)).

MATHEMATICA

Table[PartitionsQ[n]^n, {n, 0, 20}]

CROSSREFS

Cf. A133018.

Sequence in context: A322342 A132377 A276978 * A285060 A371009 A369646

Adjacent sequences: A265091 A265092 A265093 * A265095 A265096 A265097

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Dec 01 2015

STATUS

approved