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Search: id:A048945
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| A048945 |
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Numbers n such that product of divisors of n is a fourth power. |
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3
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| 1, 24, 30, 40, 42, 54, 56, 66, 70, 78, 88, 102, 104, 105, 110, 114, 120, 128, 130, 135, 136, 138, 152, 154, 165, 168, 170, 174, 182, 184, 186, 189, 190, 195, 210, 216, 222, 230, 231, 232, 238, 246, 248, 250, 255, 256, 258, 264, 266, 270, 273, 280, 282, 285
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Different from sequence of numbers which are the cube root of the product of their proper divisors. Compare A111398.
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REFERENCES
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Amarnath Murthy, Generalization of Partition function, Introducing Smarandache Factor partitions, Smarandache Notions Journal, Vol. 11, 1-2-3, Spring 2000.
Amarnath Murthy, A note on Smarandache Divisor Sequence, Introducing Smarandache Factor partitions, Smarandache Notions Journal, Vol. 11, 1-2-3, Spring 2000.
Amarnath Murthy, Some more ideas on Smarandache Factor Partitions, Smarandache Notions Journal, Vol. 11, 1-2-3, Spring 2000.
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LINKS
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M. L. Perez et al., eds., Smarandache Notions Journal
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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MAPLE
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for n from 2 to 1000 do it1 := sort(convert(divisors(n), list)): it2 := product(it1[j], j=1..nops(it1)-1): if it2 = n^3 then printf(`%d, `, n) fi: od:
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CROSSREFS
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Cf. A111398, A111399.
Sequence in context: A068544 A109797 A129656 this_sequence A111398 A030626 A125639
Adjacent sequences: A048942 A048943 A048944 this_sequence A048946 A048947 A048948
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KEYWORD
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nonn
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com)
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