A242955 Decimal expansion of the constant c = lim f(n)*n^(3/2)/rho^n where f(n) = A214833(n) is the number of arithmetic formulas for n, and rho = A242970.

1, 4, 5, 6, 9, 1, 8, 5, 4, 6, 9, 9, 9, 7, 9, 2, 9, 4, 5, 6, 0, 4, 2, 4, 8, 3, 6, 0, 5, 7, 9

Offset

0,2

Comments

This is the constant c given on page 2 of E. K. Gnang and others.

Gnang et al. find f(n) = A214833(n) ~ c*rho^n/n^(3/2) as n -> oo, with rho given in A242970, and c given by the present sequence. - M. F. Hasler, May 04 2017

Links

Table of n, a(n) for n=0..30.

Edinah K. Gnang, Maksym Radziwill, Carlo Sanna, Counting arithmetic formulas, arXiv:1406.1704 [math.CO], (6-June-2014).

Edinah K. Gnang, Maksym Radziwill, Carlo Sanna, Counting arithmetic formulas, European Journal of Combinatorics 47 (2015), pp. 40-53.

Example

c = 0.1456918546999792945604248360579...

Crossrefs

The constant rho is given in A242970.

Cf. A214833.

Sequence in context: A067652 A080805 A104626 * A086726 A078885 A275322

Adjacent sequences: A242952 A242953 A242954 * A242956 A242957 A242958

Keyword

nonn,cons,more

Author

Jonathan Vos Post, Jun 09 2014

Extensions

Offset corrected, definition improved, more terms from M. F. Hasler, May 04 2017

Status

approved