A363917 - OEIS

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A363917

a(n) = Product_{p in Factors(n)} mult(p) * n^mult(p) / p, where Factors(n) is the integer factorization of n and mult(p) the multiplicity of the prime factor p.

2

1, 1, 1, 16, 1, 6, 1, 768, 54, 10, 1, 576, 1, 14, 15, 131072, 1, 1944, 1, 1600, 21, 22, 1, 165888, 250, 26, 19683, 3136, 1, 900, 1, 83886080, 33, 34, 35, 1119744, 1, 38, 39, 768000, 1, 1764, 1, 7744, 12150, 46, 1, 169869312, 686, 25000, 51, 10816, 1, 4251528

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OFFSET

1,4

LINKS

Table of n, a(n) for n=1..54.

FORMULA

a(n) = A363918(n) * A205959(n).

a(n) = A363923(n) * A005361(n).

MAPLE

A363917 := n-> local p; mul(p[2] * n^p[2] / p[1], p in ifactors(n)[2]):

seq(A363917(n), n = 1..54);

CROSSREFS

Cf. A363923, A005361, A363918, A205959.

Sequence in context: A040266 A103922 A040267 * A040268 A321673 A040269

Adjacent sequences: A363914 A363915 A363916 * A363918 A363919 A363920

KEYWORD

nonn

AUTHOR

Peter Luschny, Jul 19 2023

STATUS

approved