A248733 Number of digits in the decimal expansion of the number of partitions of 6^n.

1, 2, 5, 14, 37, 94, 236, 584, 1437, 3529, 8654, 21210, 51966, 127302, 311840, 763864, 1871094, 4583243

Offset: 0

Author

Robert G. Wilson v, Oct 12 2014

Keywords

• nonn
• base
• more

Crossrefs

Cf. A129490, A248729, A248731, A248735, A077644, A248736, A248732.

Programs

Magma

[Floor(Log(10,(NumberOfPartitions(6^n))))+1: n in [0..7]]; // Vincenzo Librandi, Oct 13 2014

Mathematica

f[n_] := Floor[ Log[10, PartitionsP[ 6^n]] + 1]; Table[ f@n, {n, 0, 17}]

PARI

a(n) = #Str(numbpart(6^n)); \\ Michel Marcus, Oct 16 2014

Python

from sympy import npartitions
from gmpy2 import digits
def A248733(n): return len(digits(npartitions(6**n))) # Chai Wah Wu, Jul 15 2024

Formula

A248733 = A055642 o A000041 o A000400. \\ M. F. Hasler, Oct 16 2014