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Search: id:A007956
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| A007956 |
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Product of proper divisors of n. |
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+0
11
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| 1, 1, 1, 2, 1, 6, 1, 8, 3, 10, 1, 144, 1, 14, 15, 64, 1, 324, 1, 400, 21, 22, 1, 13824, 5, 26, 27, 784, 1, 27000, 1, 1024, 33, 34, 35, 279936, 1, 38, 39, 64000, 1, 74088, 1, 1936, 2025, 46, 1, 5308416, 7, 2500, 51, 2704, 1, 157464, 55, 175616, 57, 58, 1, 777600000, 1, 62, 3969, 32768, 65
(list; graph; listen)
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OFFSET
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1,4
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REFERENCES
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F. Smarandache, "Only Problems, not Solutions!", Xiquan Publ., Phoenix-Chicago, 1993.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..1000
M. L. Perez et al., eds., Smarandache Notions Journal
F. Smarandache, Only Problems, Not Solutions!.
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FORMULA
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a(n) = A007955(n)/n = n^(A000005(n)/2-1) = sqrt(n^(number of factors of n other than 1 and n))
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MATHEMATICA
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Table[ Times @@ Select[ Divisors[ n ], #<n & ], {n, 1, 60} ]
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CROSSREFS
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Cf. A000005, A007955.
Sequence in context: A088123 A050932 A166120 this_sequence A107754 A139625 A053785
Adjacent sequences: A007953 A007954 A007955 this_sequence A007957 A007958 A007959
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KEYWORD
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nonn,easy,nice
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AUTHOR
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R. Muller
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EXTENSIONS
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More terms from Scott Lindhurst (ScottL(AT)alumni.princeton.edu)
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