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A248728
Number of partitions of 3^n.
7
1, 3, 30, 3010, 18004327, 133978259344888, 233202632378520643600875145, 817400077628568283525440629036885986580578161120, 37560309092871894517794668078727801667246369744545646936224413217138060330481863103169
OFFSET
0,2
LINKS
FORMULA
a(n) = A000041(3^n). - Michel Marcus, Oct 18 2014
a(n) ~ exp(Pi*sqrt(2*3^(n-1)))/(4*3^(n+1/2)). - Ilya Gutkovskiy, Jan 13 2017
MATHEMATICA
Table[ PartitionsP[ 3^n], {n, 0, 8}]
PROG
(Magma) [NumberOfPartitions(3^n): n in [0..8]]; // Vincenzo Librandi, Oct 13 2014
(PARI) a(n) = numbpart(3^n) \\ Michel Marcus, Oct 18 2014
KEYWORD
nonn
AUTHOR
Robert G. Wilson v, Oct 12 2014
EXTENSIONS
Added a(0)=1 from Vincenzo Librandi, Oct 13 2014
STATUS
approved