A024545 a(n) = Sum_{k=1..n} floor( 1/{k/sqrt(2)} ), where {x} := x - floor(x).

1, 3, 11, 12, 13, 17, 18, 19, 21, 35, 36, 38, 43, 44, 45, 48, 96, 97, 99, 106, 107, 108, 111, 112, 113, 115, 125, 126, 127, 131, 132, 133, 135, 159, 160, 162, 168, 169, 170, 173, 174, 175, 177, 185, 186, 187, 191, 192, 193, 195, 211, 212, 214, 219, 220, 221, 224, 306, 307, 309

Offset

1,2

Links

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

Formula

Partial sums of A024544. - Sean A. Irvine, Jul 15 2019

Mathematica

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

Crossrefs

Cf. A024544, A024546.

Sequence in context: A128500 A365037 A043051 * A101134 A045110 A055046

Adjacent sequences: A024542 A024543 A024544 * A024546 A024547 A024548

Keyword

nonn

Author

Clark Kimberling

Status

approved