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Search: id:A135874
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| A135874 |
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Multiply the positive divisors n in order (starting at 1). a(n) is the smallest such partial product that is >= n. |
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+0
2
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| 1, 2, 3, 8, 5, 6, 7, 8, 27, 10, 11, 24, 13, 14, 15, 64, 17, 36, 19, 40, 21, 22, 23, 24, 125, 26, 27, 56, 29, 30, 31, 64, 33, 34, 35, 144, 37, 38, 39, 40, 41, 252, 43, 88, 135, 46, 47, 144, 343, 100, 51, 104, 53, 324, 55, 56, 57, 58, 59, 120
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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Leroy Quet, Home Page (listed in lieu of email address)
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EXAMPLE
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The positive divisors of 12 are 1,2,3,4,6,12. Checking the partial products: 1=1, 1*2=2, 1*2*3=6, 1*2*3*4=24, 1*2*3*4*6 = 144, 1*2*3*4*6*12 = 1728. 24 is the smallest such product which is >= 12. So a(12) = 24.
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MAPLE
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with(numtheory): a:=proc(n) local div, j, pr: div:=divisors(n): for j while product(div[i], i=1..j)< n do pr:=product(div[i], i=1..j+1) end do: pr end proc: 1, seq(a(n), n=2..60); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Dec 18 2007
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CROSSREFS
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Cf. A135875.
Sequence in context: A084110 A100208 A093928 this_sequence A138682 A065632 A157488
Adjacent sequences: A135871 A135872 A135873 this_sequence A135875 A135876 A135877
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KEYWORD
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nonn
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AUTHOR
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Leroy Quet Dec 03 2007
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Dec 18 2007
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