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A248729
Number of digits in the decimal expansion of the number of partitions of 3^n.
5
1, 1, 2, 4, 8, 15, 27, 48, 86, 152, 266, 463, 806, 1400, 2429, 4212, 7301, 12651, 21918, 37969, 65771, 113926, 197332, 341797, 592018, 1025414, 1776077
OFFSET
0,3
FORMULA
a(n) = A055642(A248728(n)). - R. J. Mathar, Nov 17 2014
MATHEMATICA
f[n_] := Floor[ Log[10, PartitionsP[ 3^n]] + 1]; Table[ f@n, {n, 0, 30}]
IntegerLength[PartitionsP[3^Range[0, 30]]] (* Harvey P. Dale, Sep 05 2023 *)
PROG
(PARI) a(n) = #Str(numbpart(3^n)); \\ Michel Marcus, Oct 13 2014
(Magma) [Floor(Log(10, (NumberOfPartitions(3^n))))+1: n in [0..12]]: // Vincenzo Librandi, Oct 13 2014
KEYWORD
nonn,base,more
AUTHOR
Robert G. Wilson v, Oct 12 2014
STATUS
approved