A277723 a(n) = floor(n*tau^3) where tau is the tribonacci constant (A058265).

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

Author

N. J. A. Sloane, Oct 30 2016

Keywords

• nonn
• easy

Links

• Jon E. Schoenfield, Table of n, a(n) for n = 0..10000
• A. J. Hildebrand, Junxian Li, Xiaomin Li, Yun Xie, Almost Beatty Partitions, arXiv:1809.08690 [math.NT], 2018.

Crossrefs

Cf. A058265, A158919, A276801, A277722.

Programs

PARI

a(n)=n*polrootsreal(x^3-7*x^2+5*x-1)[1]\1 \\ Charles R Greathouse IV, Nov 06 2016

Formula

By definition, a(n) = n*tau^3 + O(1). - Charles R Greathouse IV, Nov 06 2016