A024549 - OEIS

A024549

Sum of [ 1/{k*sqrt(3)} ], k = 1,2,...,n, where {x} := x - [ x ].

1, 3, 8, 9, 10, 12, 20, 21, 22, 25, 44, 45, 46, 50, 51, 52, 54, 59, 60, 61, 63, 72, 73, 74, 77, 107, 108, 110, 114, 115, 116, 118, 124, 125, 126, 128, 139, 140, 141, 144, 215, 216, 218, 222, 223, 224, 226, 233, 234, 235, 237, 252, 253, 254, 257, 258, 259

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

LINKS

Clark Kimberling, Table of n, a(n) for n = 1..1000

MATHEMATICA

Table[Sum[Floor[1/FractionalPart[k*Sqrt[3]]], {k, 1, n}], {n, 1, 100}]

(* Clark Kimberling, Aug 16 2012 *)

PROG

(Magma) a:=Sqrt(3); [&+[Floor(1/(k*a-Floor(k*a))):k in [1..n]]:n in [1..60]]; // Marius A. Burtea, Jul 16 2019

CROSSREFS

Cf. A024550.