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Search: id:A061537
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| A061537 |
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Product of unitary divisors of n. |
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+0
7
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| 1, 2, 3, 4, 5, 36, 7, 8, 9, 100, 11, 144, 13, 196, 225, 16, 17, 324, 19, 400, 441, 484, 23, 576, 25, 676, 27, 784, 29, 810000, 31, 32, 1089, 1156, 1225, 1296, 37, 1444, 1521, 1600, 41, 3111696, 43, 1936, 2025, 2116, 47, 2304, 49, 2500, 2601, 2704, 53, 2916
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Also appears to be smallest number m such that A066296[m]=n.
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,1000
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FORMULA
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a(n)=n^(A034444(n)/2)=n^(2^(A001221(n)-1).
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EXAMPLE
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n = 288, unitary divisors = {1,9,32,288}, a(288) = 82944
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PROGRAM
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(PARI) { for (n=1, 1000, s=divisors(n); a=1; for (i=2, length(s), d=s[i]; if (gcd(d, n/d)==1, a*=d)); write("b061537.txt", n, " ", a) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 24 2009]
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CROSSREFS
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Cf. A000005, A034444, A007955, A048105, A007955, A007956.
Sequence in context: A124128 A037401 A062509 this_sequence A056925 A060067 A043310
Adjacent sequences: A061534 A061535 A061536 this_sequence A061538 A061539 A061540
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), May 15 2001
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EXTENSIONS
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Corrected and edited by Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), Mar 05 2009
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