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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
-2, -2, -3, -2, 0, 28, 199, 483, 9040, 143814, 306295, 963844, 5155067, 81053615, 1334916470, 29106956400, 58655156000, 1817551640000, 56466287000000, 376943530000000, 1144451930000000, 41803527000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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.

LINKS

Table of n, a(n) for n=1..22.

J. C. Lagarias, An elementary problem equivalent to the Riemann hypothesis, Am. Math. Monthly 109 (#6, 2002), 534-543.

CROSSREFS

Cf. A004490, A079526.

Sequence in context: A127638 A127639 A248081 * A304041 A238509 A100890

Adjacent sequences:  A259629 A259630 A259631 * A259633 A259634 A259635

KEYWORD

sign

AUTHOR

Gene Ward Smith, Dec 17 2016

STATUS

approved

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Last modified April 19 06:30 EDT 2019. Contains 322237 sequences. (Running on oeis4.)