login
A277723
a(n) = floor(n*tau^3) where tau is the tribonacci constant (A058265).
8
0, 6, 12, 18, 24, 31, 37, 43, 49, 56, 62, 68, 74, 80, 87, 93, 99, 105, 112, 118, 124, 130, 136, 143, 149, 155, 161, 168, 174, 180, 186, 192, 199, 205, 211, 217, 224, 230, 236, 242, 248, 255, 261, 267, 273, 280, 286, 292, 298, 304, 311, 317, 323, 329, 336, 342, 348, 354, 360, 367, 373, 379, 385
OFFSET
0,2
LINKS
A. J. Hildebrand, Junxian Li, Xiaomin Li, Yun Xie, Almost Beatty Partitions, arXiv:1809.08690 [math.NT], 2018.
FORMULA
By definition, a(n) = n*tau^3 + O(1). - Charles R Greathouse IV, Nov 06 2016
PROG
(PARI) a(n)=n*polrootsreal(x^3-7*x^2+5*x-1)[1]\1 \\ Charles R Greathouse IV, Nov 06 2016
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Oct 30 2016
STATUS
approved