A024585 a(n) = Sum_{k=1..n} [ 1/{k*Pi} ], where {x} := x - [ x ].

7, 10, 12, 13, 14, 15, 16, 23, 26, 28, 29, 30, 31, 32, 40, 43, 45, 46, 47, 48, 49, 57, 60, 62, 63, 64, 65, 66, 75, 79, 81, 82, 83, 84, 85, 95, 99, 101, 102, 103, 104, 105, 116, 120, 122, 123, 124, 125, 126, 138, 142, 144, 145, 146, 147, 148, 162, 166, 168, 170, 171, 172, 173, 189

Offset: 1

Author

Clark Kimberling

Keywords

• nonn

Links

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

Crossrefs

Cf. A024586. Partial sums of A024584.

Programs

Mathematica

Table[Sum[Floor[1/FractionalPart[k*Pi]], {k, n}], {n, 100}] (* Clark Kimberling, Aug 18 2012 *)

PARI

a(n) = sum(k=1, n, floor(1/frac((k*Pi)))); \\ Michel Marcus, Jul 17 2019