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Search: id:A051703
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| A051703 |
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Maximal value of products of partitions of n into powers of distinct primes (1 not considered a power). |
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+0
5
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| 1, 0, 2, 3, 4, 6, 0, 12, 15, 20, 30, 28, 60, 40, 84, 105, 140, 210, 180, 420, 280, 330, 360, 840, 504, 1260, 1155, 1540, 2310, 2520, 4620, 3080, 5460, 3960, 9240, 5544, 13860, 6552, 16380, 15015, 27720, 32760, 60060, 40040, 45045, 51480, 120120, 72072
(list; graph; listen)
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OFFSET
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0,3
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REFERENCES
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J. Bamberg, G. Cairns and D. Kilminster, The crystallographic restriction, permutations and Goldbach's conjecture, Amer. Math. Monthly, 110 (March 2003), 202-209.
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EXAMPLE
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a(11)=28 because max{11,2*3^2,2^3*3,2^2*7}=28.
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CROSSREFS
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Largest element of n-th row of A080743.
A000793(n)=max{A000793(n-1), a(n)}, A000793(0)=1.
Cf. A008475, A051613, A080743, A080744, A051704.
Sequence in context: A038106 A046942 A103688 this_sequence A004567 A030378 A128332
Adjacent sequences: A051700 A051701 A051702 this_sequence A051704 A051705 A051706
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KEYWORD
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nonn
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AUTHOR
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Vladeta Jovovic (vladeta(AT)eunet.rs)
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