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 A318458 a(n) = n AND A001065(n), where AND is bitwise-and (A004198) & A001065 = sum of proper divisors. 21
 0, 0, 1, 0, 1, 6, 1, 0, 0, 8, 1, 0, 1, 10, 9, 0, 1, 16, 1, 20, 1, 6, 1, 0, 0, 16, 9, 28, 1, 10, 1, 0, 1, 0, 1, 36, 1, 6, 1, 32, 1, 34, 1, 40, 33, 10, 1, 0, 0, 34, 17, 36, 1, 2, 17, 0, 17, 32, 1, 44, 1, 34, 41, 0, 1, 66, 1, 0, 1, 66, 1, 72, 1, 8, 1, 64, 1, 74, 1, 64, 0, 0, 1, 4, 21, 6, 1, 88, 1, 16, 17, 76, 1, 18, 25, 0, 1, 64, 33, 100, 1, 98, 1, 104, 65 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,6 COMMENTS The peculiar look of the scatterplot is partly an artifact of the logarithmic scale. Compare also to the scatterplot of A318468. LINKS Antti Karttunen, Table of n, a(n) for n = 1..65537 FORMULA a(n) = A004198(n, A001065(n)). a(n) = A000203(n) - A318456(n) = (A000203(n)-A318457(n))/2. MATHEMATICA Table[BitAnd[n, DivisorSigma[1, n] - n], {n, 100}] (* Vincenzo Librandi, Aug 29 2018 *) PROG (PARI) A318458(n) = bitand(n, sigma(n)-n); (MAGMA) [SumOfDivisors(n)-BitwiseOr(n, SumOfDivisors(n)-n): n in [1..100]]; // Vincenzo Librandi, Aug 29 2018 CROSSREFS Cf. A000203, A001065, A004198, A033879, A318456, A318457. Cf. also A318468, A318508, A318518, A318463. Sequence in context: A212528 A059117 A196603 * A267479 A285824 A269955 Adjacent sequences:  A318455 A318456 A318457 * A318459 A318460 A318461 KEYWORD nonn,base,look AUTHOR Antti Karttunen, Aug 26 2018 STATUS approved

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Last modified December 14 12:04 EST 2019. Contains 329979 sequences. (Running on oeis4.)