A024541 [ sum of 1/{k*sqrt(2)} ], k = 1,2,...,n, where {x} := x - [ x ].

2, 3, 7, 9, 23, 25, 26, 29, 31, 38, 39, 40, 43, 44, 49, 51, 75, 77, 78, 81, 83, 92, 94, 95, 98, 99, 104, 106, 188, 190, 191, 195, 197, 209, 211, 212, 215, 216, 223, 225, 226, 228, 229, 234, 235, 254, 256, 257, 261, 262, 270, 272, 273, 276, 277, 282, 284, 325, 327, 328, 332, 333

Offset

1,1

Links

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

Mathematica

Table[Floor[Sum[1/FractionalPart[k*Sqrt[2]], {k, 1, n}]], {n, 1, 100}] (* Clark Kimberling, Aug 17 2012 *)

Crossrefs

Cf. A024540.

Sequence in context: A046152 A057239 A319911 * A250267 A333517 A207643

Adjacent sequences: A024538 A024539 A024540 * A024542 A024543 A024544

Keyword

nonn

Author

Clark Kimberling

Status

approved