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A259632 a(n) = floor(exp(H_k)*log(H_k)) - sigma(k) where k is the n-th colossally abundant number (Sequence A079526 applied to the colossally abundant numbers (A004490).) 0

%I #40 Dec 29 2016 05:28:47

%S -2,-2,-3,-2,0,28,199,483,9040,143814,306295,963844,5155067,81053615,

%T 1334916470,29106956400,58655156000,1817551640000,56466287000000,

%U 376943530000000,1144451930000000,41803527000000000

%N a(n) = floor(exp(H_k)*log(H_k)) - sigma(k) where k is the n-th colossally abundant number (Sequence A079526 applied to the colossally abundant numbers (A004490).)

%C It follows easily from the work of Lagarias that the Riemann hypothesis is equivalent to this sequence's being nonnegative except for the first four terms.

%H J. C. Lagarias, <a href="http://www.jstor.org/stable/2695443">An elementary problem equivalent to the Riemann hypothesis</a>, Am. Math. Monthly 109 (#6, 2002), 534-543.

%Y Cf. A004490, A079526.

%K sign

%O 1,1

%A _Gene Ward Smith_, Dec 17 2016

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Last modified March 29 09:44 EDT 2024. Contains 371268 sequences. (Running on oeis4.)