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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.
2
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
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
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