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A129490 Number of digits in the decimal expansion of the number of partitions of 2^n. 6
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

For the same sequence but for base 10 (A070177): 1,2,9,32,107,347,1108,3515,11132,35219,111391,352269,1113996,....

LINKS

Table of n, a(n) for n=0..41.

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, 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

STATUS

approved

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Last modified December 5 02:30 EST 2022. Contains 358572 sequences. (Running on oeis4.)