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

0,3

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.

Formula

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

Crossrefs

Numerators are in A177208, see there for more information.

Sequence in context: A338444 A139384 A083481 * A274439 A280342 A275476

Adjacent sequences: A177206 A177207 A177208 * A177210 A177211 A177212

Keyword

frac,nonn

Author

Franklin T. Adams-Watters, May 04 2010

Status

approved