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Search: id:A091915
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| A091915 |
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Maximum of even products of partitions of n. |
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+0
2
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| 0, 2, 2, 4, 6, 8, 12, 18, 24, 36, 54, 72, 108, 162, 216, 324, 486, 648, 972, 1458, 1944, 2916, 4374, 5832, 8748, 13122, 17496, 26244, 39366, 52488, 78732, 118098, 157464, 236196, 354294, 472392, 708588, 1062882, 1417176, 2125764, 3188646, 4251528
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OFFSET
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1,2
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FORMULA
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For n>6, a(n+3) = 3a(n) (conjectured). - R. Stephan, Dec 02 2004
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EXAMPLE
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The partitions of 5 are 5, 41, 32, 311, 221, 2111, 11111, with products 5, 4, 6, 3, 4, 2, 1, and the maximal even product is 6.
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MATHEMATICA
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first Needs["DiscreteMath`Combinatorica`"], then f[n_] := Max[ Select[ Apply[ Times, Partitions[n], 2], EvenQ[ # ] &]]; Table[ f[n], {n, 1, 42}] (from Robert G. Wilson v Feb 12 2004)
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CROSSREFS
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Cf. A000792, A091916.
Sequence in context: A108494 A078578 A018129 this_sequence A123862 A089647 A145465
Adjacent sequences: A091912 A091913 A091914 this_sequence A091916 A091917 A091918
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KEYWORD
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nonn
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AUTHOR
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Jon Perry (perry(AT)globalnet.co.uk), Feb 12 2004
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 12 2004
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