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Number of partitions of 3^n into distinct terms.
1

%I #6 Jan 13 2017 20:00:07

%S 1,2,8,192,84756,5807301632,2496696209705056142,

%T 4077067982967062771640042697374910,

%U 1661834856564765736512658856496529945178404778001420955780288

%N Number of partitions of 3^n into distinct terms.

%F a(n) ~ exp(Pi*sqrt(3^(n-1)))/(4*3^(3*n/4+1/4)). - _Ilya Gutkovskiy_, Jan 13 2017

%t Table[ PartitionsQ[3^n], {n, 0, 10}]

%Y Cf. A000009, A067735, A069878, A248728.

%K nonn

%O 0,2

%A _Robert G. Wilson v_, May 08 2002