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Integer part of the n-th root of the number of partitions of n^n into distinct parts.
0

%I #12 Oct 24 2024 09:24:23

%S 1,1,5,329,137483613,4509583237978309488810051189,

%T 242639939633545703354650791456741100816768201372832720247783531678176442265132915735721710004729333425

%N Integer part of the n-th root of the number of partitions of n^n into distinct parts.

%t Table[IntegerPart[PartitionsQ[n^n]^(1/n)],{n,1,7}]

%Y Cf. A064682.

%K nonn

%O 1,3

%A _Vladimir Joseph Stephan Orlovsky_, Dec 03 2008

%E Definition amended and a(7) from _Georg Fischer_, Oct 24 2024