A248735 Number of digits in the decimal expansion of the number of partitions of 7^n.

1, 2, 6, 18, 51, 140, 377, 1005, 2668, 7069, 18714, 49527, 131052, 346746, 917422, 2427289

Offset: 0

Author

Robert G. Wilson v, Oct 12 2014

Keywords

• nonn
• base
• more

Crossrefs

Cf. A000041, A129490, A248729, A248731, A248733, A077644, A248736, A248734.

Programs

Magma

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

Mathematica

f[n_] := Floor[ Log[10, PartitionsP[ 7^n]] + 1]; Table[ f@n, {n, 0, 15}]
IntegerLength[PartitionsP[7^#]]&/@Range[0,15] (* Harvey P. Dale, Apr 27 2015 *)

PARI

a(n) = #Str(numbpart(7^n)); \\ Michel Marcus, Oct 16 2014

Formula

a(n) = A055642(A248734(n)). - R. J. Mathar, Nov 17 2014