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Search: id:A069188
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| A069188 |
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Look at all numbers formed by multiplying the parts in a partition of n; a(n) = maximal such number which is divisible by n. |
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+0
2
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| 1, 2, 3, 4, 5, 6, 7, 16, 27, 30, 11, 72, 13, 84, 180, 288, 17, 648, 19, 1080, 1134, 594, 23, 5832, 6075, 1404, 19683, 13608, 29, 43740, 31, 93312, 32076, 8262, 153090, 472392, 37, 18468, 170586, 1574640, 41, 2480058, 43, 1732104, 10628820, 100602, 47
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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a(n) = n*A000792(n - A001414(n)). - David Wasserman (wasserma(AT)spawar.navy.mil), Apr 02 2003
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EXAMPLE
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a(10) = 30 obtained as the product of parts of partition (5,3,2) of 10 (though the maximum product obtained is 36 as 2*2*3*3).
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CROSSREFS
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Cf. A000792, A001414.
Sequence in context: A004836 A039030 A132028 this_sequence A085158 A065639 A039090
Adjacent sequences: A069185 A069186 A069187 this_sequence A069189 A069190 A069191
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KEYWORD
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easy,nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Mar 24 2002
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EXTENSIONS
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Corrected and extended by David Wasserman (wasserma(AT)spawar.navy.mil), Apr 02 2003
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