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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A382492 a(n) is the least number that has exactly n 3-smooth divisors.

Original entry on oeis.org

1, 2, 4, 6, 16, 12, 64, 24, 36, 48, 1024, 72, 4096, 192, 144, 216, 65536, 288, 262144, 432, 576, 3072, 4194304, 864, 1296, 12288, 2304, 1728, 268435456, 2592, 1073741824, 3456, 9216, 196608, 5184, 6912, 68719476736, 786432, 36864, 10368, 1099511627776, 15552, 4398046511104
Offset: 1

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Author

Amiram Eldar, Mar 29 2025

Keywords

Comments

The record values occur at A046022.
All the terms are in A003586 and A025487.

Crossrefs

Programs

  • Mathematica
    a[n_] := Min[Table[2^(d-1)*3^(n/d-1), {d, Divisors[n]}]]; Array[a, 60]
  • PARI
    a(n) = vecmin(apply(d -> 2^(d-1)*3^(n/d-1), divisors(n)));

Formula

a(n) = Min_{d|n} (2^(d-1)*3^(n/d-1)).
a(n) = 2^A382493(n) * 3^(n/(A382493(n)+1)-1).
a(p) = 2^(p-1) for prime p.
a(n) = A005179(n) if n is in A037143.
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