OFFSET
1,2
COMMENTS
a(n) is the largest integer m such that e^m < Pi^n. - Stanislav Sykora, May 29 2015
LINKS
Harry J. Smith, Table of n, a(n) for n = 1..2000
Aviezri S. Fraenkel, Jonathan Levitt and Michael Shimshoni, Characterization of the set of values f(n)=[n alpha], n=1,2,..., Discrete Math. 2 (1972), no.4, 335-345.
Eric Weisstein's World of Mathematics, Beatty Sequence.
FORMULA
a(n) = A004777(n+1), 1 <= n < 83. - R. J. Mathar, Oct 05 2008
a(n) = floor(n*log(Pi)). - Michel Marcus, Jan 04 2015
MATHEMATICA
Floor[Range[100]*Log[Pi]] (* Paolo Xausa, Jul 05 2024 *)
PROG
(PARI) { default(realprecision, 100); b=log(Pi); for (n = 1, 2000, write("b059561.txt", n, " ", floor(n*b)); ) } \\ Harry J. Smith, Jun 28 2009
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Mitch Harris, Jan 22 2001
STATUS
approved