cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

Original entry on oeis.org

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

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Author

Robert G. Wilson v, Apr 11 2007

Keywords

Comments

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

Crossrefs

Cf. A000041, A068413, A077644, A129491.

Programs

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

Formula

See A000041: (Hardy and Ramanujan) & (Ayoub, p. 197).
a(n) = A055642(A068413(n)).
a(n) =~ 2*A129491(n)/9.

Extensions

Missing a(0) prepended by Georg Fischer, Nov 06 2023
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Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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