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Search: id:A130889
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| 0, 0, 5, 5, 11, 9, 17, 19, 29, 29, 31, 37, 47, 13, 59, 5, 5, 71, 71, 71, 9, 29, 31, 9, 107, 103, 5, 5, 131, 43, 131, 11, 5, 157, 167, 51, 5, 191, 7, 197, 199, 29, 5, 43, 227, 233, 233, 223, 257, 15, 9, 263, 281, 281, 281, 97, 13, 59, 317, 7, 17, 17, 47, 11, 353, 71, 349, 379, 389
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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a(n) is the weight of lucky numbers. A020639(n) is the weight of natural numbers. A117078(n) is the weight of primes numbers.
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LINKS
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Remi Eismann, Table of n, a(n) for n=1..9999
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EXAMPLE
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For n = 1 we have A000959(n) = 1, A000959(n+1) = 3; there is no k such that 3 - 1 = 2 = (1 mod k), hence a(1) = 0.
For n = 3 we have A000959(n) = 7, A000959(n+1) = 9; 5 is the smallest k such that 9 - 7 = 2 = (7 mod k), hence a(3) = 5.
For n = 24 we have A000959(n) = 105, A000959(n+1) = 111; 9 is the smallest k such that 111 - 105 = 6 = (105 mod k), hence a(24) = 9.
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CROSSREFS
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Cf. A020639, A117078, A117563, A001223, A118534, A090369, A090368, A130533, A130650, A130703.
Sequence in context: A087033 A079305 A151728 this_sequence A058610 A143427 A101203
Adjacent sequences: A130886 A130887 A130888 this_sequence A130890 A130891 A130892
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KEYWORD
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nonn
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AUTHOR
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Remi Eismann (reismann(AT)free.fr), Aug 21 2007
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