A177209 Denominators of exponential transform of 1/n.

1, 1, 2, 6, 3, 5, 180, 1260, 105, 945, 9450, 34650, 155925, 289575, 12612600, 1702701000, 212837625, 1206079875, 21709437750, 412479317250, 2888510625, 21655164155625, 952827222847500, 128158047517500, 16436269594119375

Offset: 0

Author

Franklin T. Adams-Watters, May 04 2010

Keywords

• frac
• nonn

Comments

Denominators of moments of Dickman-De Bruijn distribution as shown on page 257 of Cellarosi & Sinai. - Jonathan Vos Post, Jan 07 2012

References

• Knuth, Donald E., and Luis Trabb Pardo. "Analysis of a simple factorization algorithm." Theoretical Computer Science 3.3 (1976): 321-348. See Eq. (6.6) and (6.7), page 334.

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..200
• F. Cellarosi and Ya. G. Sinai, The Möbius function and statistical mechanics, Bull. Math. Sci., 2011.

Crossrefs

Numerators are in A177208, see there for more information.

Formula

Knuth & Trabb-Pardo (6.7) gives a recurrence. - N. J. A. Sloane, Nov 09 2022