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A087321
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Smallest multiple of n which is a perfect power (at least a square) of a squarefree number.
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1
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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; internal format)
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OFFSET
| 1,2
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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 (wasserma(AT)spawar.navy.mil), May 04 2005
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EXAMPLE
| a(12) = 36 = 6^2. a(24) = 216.
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CROSSREFS
| Cf. A087320.
Sequence in context: A078615 A197863 A087320 * A053143 A068238 A087369
Adjacent sequences: A087318 A087319 A087320 * A087322 A087323 A087324
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KEYWORD
| easy,nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 03 2003
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EXTENSIONS
| More terms from David Wasserman (wasserma(AT)spawar.navy.mil), May 04 2005
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