A248729 Number of digits in the decimal expansion of the number of partitions of 3^n.

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

Author

Robert G. Wilson v, Oct 12 2014

Keywords

• nonn
• base
• more

Crossrefs

Cf. A129490, A248731, A248733, A248735, A077644, A248736, A248728.

Programs

Magma

[Floor(Log(10,(NumberOfPartitions(3^n))))+1: n in [0..12]]; // Vincenzo Librandi, Oct 13 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 *)

PARI

a(n) = #Str(numbpart(3^n)); \\ Michel Marcus, Oct 13 2014

Formula

a(n) = A055642(A248728(n)). - R. J. Mathar, Nov 17 2014