A129490 Number of digits in the decimal expansion of the number of partitions of 2^n.

1, 1, 1, 2, 3, 4, 7, 10, 15, 22, 32, 47, 67, 97, 138, 197, 280, 398, 565, 801, 1134, 1607, 2275, 3219, 4555, 6445, 9118, 12898, 18243, 25803, 36494, 51615, 72998, 103238, 146005, 206486, 292020, 412982, 584050, 825975, 1168110, 1651962, 2336232

Offset

0,4

Comments

For the same sequence but for base 10 (A070177): A077644.

Links

Table of n, a(n) for n=0..42.

Formula

See A000041: (Hardy and Ramanujan) & (Ayoub, p. 197).

a(n) = A055642(A068413(n)).

a(n) =~ 2*A129491(n)/9.

Mathematica

f[n_] := Floor[ Log[10, PartitionsP[2^n]] + 1]; Table[ f@n, {n, 0, 42}]

Crossrefs

Cf. A000041, A068413, A077644, A129491.

Sequence in context: A325341 A039841 A078159 * A018132 A329758 A100638

Adjacent sequences: A129487 A129488 A129489 * A129491 A129492 A129493

Keyword

base,nonn

Author

Robert G. Wilson v, Apr 11 2007

Extensions

Missing a(0) prepended by Georg Fischer, Nov 06 2023

Status

approved