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A087321 Smallest multiple of n which is a perfect power (at least a square) of a squarefree number. 1
1, 4, 9, 4, 25, 36, 49, 8, 9, 100, 121, 36, 169, 196, 225, 16, 289, 36, 361, 100, 441, 484, 529, 216, 25, 676, 27, 196, 841, 900, 961, 32, 1089, 1156, 1225, 36, 1369, 1444, 1521, 1000, 1681, 1764, 1849, 484, 225, 2116, 2209, 1296, 49, 100, 2601, 676, 2809, 216 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

FORMULA

If n = p^a*q^b*r^c... p, q, r are primes and max(a, b, c, ...) = K then a(n) = p^K*q^K*r^K...

a(n) = A007947(n)^max(A051903(n), 2). - David Wasserman, May 04 2005

EXAMPLE

a(12) = 36 = 6^2. a(24) = 216.

CROSSREFS

Cf. A087320.

Sequence in context: A078615 A197863 A087320 * A053143 A068238 A280441

Adjacent sequences:  A087318 A087319 A087320 * A087322 A087323 A087324

KEYWORD

easy,nonn

AUTHOR

Amarnath Murthy, Sep 03 2003

EXTENSIONS

More terms from David Wasserman, May 04 2005

STATUS

approved

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Last modified February 16 15:17 EST 2020. Contains 331961 sequences. (Running on oeis4.)