A024571 a(n) = [ sum of 1/{k*r} ] for k = 1,2,...,n, where r = (1 + sqrt(5))/2 and {x} := x - [ x ].

1, 5, 7, 9, 20, 21, 24, 25, 27, 33, 34, 36, 65, 67, 71, 72, 74, 82, 83, 86, 87, 88, 93, 94, 97, 111, 112, 116, 117, 119, 125, 126, 129, 205, 206, 210, 212, 214, 223, 225, 228, 229, 230, 236, 237, 239, 260, 262, 265, 266, 268, 275, 277, 279, 280, 282, 287, 288, 290, 302, 303, 307

Offset: 1

Author

Clark Kimberling

Keywords

• nonn

Links

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

Crossrefs

Cf. A024570.

Programs

Mathematica

Table[Floor[Sum[1/FractionalPart[k*GoldenRatio], {k, n}]], {n, 100}] (* Clark Kimberling, Aug 15 2012 *)

Extensions

Corrected by Clark Kimberling, Aug 15 2012