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Search: id:A088864
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| A088864 |
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Maximum of the products of left and right parts when splitting the binary representation of n. |
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+0
1
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| 0, 0, 1, 0, 2, 2, 3, 0, 4, 4, 6, 4, 6, 6, 9, 0, 8, 8, 12, 8, 10, 12, 15, 8, 12, 12, 18, 12, 15, 18, 21, 0, 16, 16, 24, 16, 20, 24, 28, 16, 20, 20, 30, 24, 26, 30, 35, 16, 24, 24, 36, 24, 30, 36, 42, 24, 28, 30, 42, 36, 39, 42, 49, 0, 32, 32, 48, 32, 40, 48, 56, 32, 36, 40, 54
(list; graph; listen)
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OFFSET
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1,5
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COMMENT
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a(2^n) = 0, a(2^n + 1) = 2^(n-1).
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LINKS
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Index entries for sequences related to binary expansion of n
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FORMULA
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a(n) = Max{floor(n/(2^k))*(n mod 2^k)}.
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EXAMPLE
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n=77 -> '1001101': a(77) = Max{'1'*'001101', '10'*'01101',
'100'*'1101', '1001'*'101', '10011'*'01', '100110'*'1'} = Max{1*13, 2*13,
4*13, 9*5, 19*1, 38*1} = Max{13, 26, 52, 45, 19, 38} = 52.
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CROSSREFS
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Cf. A007088.
Sequence in context: A060755 A104594 A079626 this_sequence A127466 A099118 A107098
Adjacent sequences: A088861 A088862 A088863 this_sequence A088865 A088866 A088867
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KEYWORD
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nonn,base
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Nov 26 2003
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