A109259 a(n) = floor(n*sqrt(2)^sqrt(2)).

1, 3, 4, 6, 8, 9, 11, 13, 14, 16, 17, 19, 21, 22, 24, 26, 27, 29, 31, 32, 34, 35, 37, 39, 40, 42, 44, 45, 47, 48, 50, 52, 53, 55, 57, 58, 60, 62, 63, 65, 66, 68, 70, 71, 73, 75, 76, 78, 79, 81, 83, 84, 86, 88, 89, 91, 93, 94, 96, 97, 99, 101, 102, 104

Offset: 1

Author

Reinhard Zumkeller, Jun 23 2005

Keywords

• nonn

Comments

Beatty sequence for sqrt(2)^sqrt(2) = 1.63252...; complement of A109260.

Links

• G. C. Greubel, Table of n, a(n) for n = 1..10000
• Eric Weisstein's World of Mathematics, Beatty Sequence
• Index entries for sequences related to Beatty sequences

Crossrefs

Cf. A078333, A109261, A038127.

Programs

Magma

[Floor(n*Sqrt(2)^Sqrt(2)): n in [1..100]]; // G. C. Greubel, Mar 27 2018

Mathematica

With[{c=(Sqrt[2])^Sqrt[2]},Floor[c*Range[100]]] (* Harvey P. Dale, Mar 19 2018 *)

PARI

for(n=1,100, print1(floor(n*sqrt(2)^sqrt(2)), ", ")) \\ G. C. Greubel, Mar 27 2018