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A053143
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Smallest square divisible by n.
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3
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1, 4, 9, 4, 25, 36, 49, 16, 9, 100, 121, 36, 169, 196, 225, 16, 289, 36, 361, 100, 441, 484, 529, 144, 25, 676, 81, 196, 841, 900, 961, 64, 1089, 1156, 1225, 36, 1369, 1444, 1521, 400, 1681, 1764, 1849, 484, 225, 2116, 2209, 144, 49, 100, 2601, 676, 2809
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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LINKS
| H. Bottomley, Some Smarandache-type multiplicative sequences
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FORMULA
| a(n) = n*A007913(n) = A019554(n)^2 = n^2/A008833(n) = (n/A000188(n))^2.
Multiplicative with p^e -> p^(e + e mod 2), p prime. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 09 2003
Dirichlet g.f. zeta(2s-2)*zeta(s-2)/zeta(2s-4). - R. J. Mathar, Oct 31 2011
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MATHEMATICA
| Table[i = 1; While[Mod[i^2, n] > 0, i++]; i^2, {n, 100}] (* T. D. Noe, Oct 30 2011 *)
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CROSSREFS
| Sequence in context: A197863 A087320 A087321 * A068238 A087369 A200629
Adjacent sequences: A053140 A053141 A053142 * A053144 A053145 A053146
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KEYWORD
| easy,nonn,mult
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AUTHOR
| Henry Bottomley (se16(AT)btinternet.com), Feb 28 2000
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