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Search: id:A070555
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| A070555 |
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Sum of positive integers k, where k <= n and GCD(k,2n+1) = GCD(k+1,2n+1). |
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+0 2
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| 1, 1, 6, 15, 12, 45, 66, 21, 120, 153, 50, 231, 180, 117, 378, 435, 144, 255, 630, 209, 780, 861, 198, 1035, 840, 375, 1326, 729, 476, 1653, 1770, 465, 1056, 2145, 714, 2415, 2556, 555, 1710, 3003, 1080, 3321, 1890, 1161, 3828, 2475, 1334, 2397, 4560, 1323
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OFFSET
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1,3
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COMMENT
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Note that whenever GCD(k,2n+1) = GCD(k+1,2n+1), this common value must be 1. - David Wasserman (wasserma(AT)spawar.navy.mil), May 13 2003
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PROGRAM
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(Matlab) function m = A070555(n) m = 0; for k = 1:(2*n + 1) if gcd(k, 2*n + 1) == gcd(k + 1, 2*n + 1) m = m + k; end end
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CROSSREFS
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Bisection of A069828.
Adjacent sequences: A070552 A070553 A070554 this_sequence A070556 A070557 A070558
Sequence in context: A003566 A070870 A123623 this_sequence A128512 A009579 A114812
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KEYWORD
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nonn
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AUTHOR
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Vladeta Jovovic (vladeta(AT)Eunet.yu), Apr 29 2002
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EXTENSIONS
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More terms from David Wasserman (wasserma(AT)spawar.navy.mil), May 13 2003
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