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Search: id:A130703
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| 0, 0, 0, 0, 9, 14, 10, 27, 35, 22, 18, 65, 77, 18, 26, 119, 27, 38, 34, 27, 209, 46, 28, 55, 299, 36, 35, 377, 45, 62, 58, 45, 527, 40, 54, 629, 95, 54, 74, 779, 63, 86, 82, 63, 989, 94, 54, 161, 235, 68, 91, 265, 81, 65, 106, 81, 145, 118, 90, 1769, 1829
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OFFSET
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1,5
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COMMENT
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a(n) is the weight of triangular 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 A000217(n) = 1, A000217(n+1) = 3; there is no k such that 3 - 1 = 2 = (1 mod k), hence a(1) = 0.
For n = 5 we have A000217(n) = 15, A000217(n+1) = 21; 9 is the smallest k such that 21 - 15 = 6 = (15 mod k), hence a(5) = 9.
For n = 22 we have A000217(n) = 253, A000217(n+1) = 276; 46 is the smallest k such that 276 - 253 = 23 = (253 mod k), hence a(22) = 46.
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CROSSREFS
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Cf. A020639, A117078, A117563, A001223, A118534, A090369, A090368.
Sequence in context: A115445 A131602 A004474 this_sequence A050939 A036266 A087722
Adjacent sequences: A130700 A130701 A130702 this_sequence A130704 A130705 A130706
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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 16 2007
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