A110117 a(n) = floor(n * (sqrt(2) + sqrt(3))).

3, 6, 9, 12, 15, 18, 22, 25, 28, 31, 34, 37, 40, 44, 47, 50, 53, 56, 59, 62, 66, 69, 72, 75, 78, 81, 84, 88, 91, 94, 97, 100, 103, 106, 110, 113, 116, 119, 122, 125, 128, 132, 135, 138, 141, 144, 147, 151, 154, 157, 160, 163, 166, 169, 173, 176, 179, 182, 185, 188

Offset: 1

Author

Reinhard Zumkeller, Jul 13 2005

Keywords

• nonn

Comments

Beatty sequence for sqrt(2)+sqrt(3); complement of A110118;

sqrt(2)+sqrt(3) = 3.14626... = A135611, a weak but interesting Pi approximation.

Links

• G. C. Greubel, Table of n, a(n) for n = 1..5000
• Eric Weisstein's World of Mathematics, Pi Approximations
• Eric Weisstein's World of Mathematics, Beatty Sequence
• Index entries for sequences related to Beatty sequences

Crossrefs

Cf. A110119, A135611.

Programs

Mathematica

Table[Floor[n*(Sqrt[2] + Sqrt[3])], {n, 1, 50}] (* G. C. Greubel, Jul 02 2017 *)

PARI

for(n=1,50, print1(floor(n*(sqrt(2) + sqrt(3))), ", ")) \\ G. C. Greubel, Jul 02 2017

Extensions

Typo in Link section fixed by Reinhard Zumkeller, Feb 15 2010