A137804 a(n) = floor(n*(4*sqrt(2)+9)/7).

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 90, 92, 94, 96, 98, 100, 102, 104, 106, 108, 110, 113, 115, 117, 119, 121, 123, 125, 127, 129, 131, 134, 136

Offset: 1

Author

Reinhard Zumkeller, Feb 11 2008

Keywords

• nonn

Comments

a(n) = A059534(n) for n <= 31;

Beatty sequence for (4*Sqrt(2)+9)/7; complement of A137803;

a(n) = A137805(A137803(n)) and A137805(a(n)) = A137803(n).

Links

• R. Zumkeller, Table of n, a(n) for n = 1..1000
• Eric Weisstein's World of Mathematics, Beatty Sequence
• Index entries for sequences related to Beatty sequences

Crossrefs

Cf. A059534, A137803, A137805

Programs

Magma

[Floor(n*(4*Sqrt(2)+9)/7): n in [1..100]]; // G. C. Greubel, Mar 28 2018

Maple

[seq(floor(n*(4*(sqrt(2))+9)/7),n=1..70)]; # Muniru A Asiru, Mar 29 2018

Mathematica

Table[Floor[n*(4*Sqrt[2]+9)/7], {n,1,100}] (* G. C. Greubel, Mar 28 2018 *)

PARI

for(n=1,100, print1(floor(n*(4*sqrt(2)+9)/7), ", ")) \\ G. C. Greubel, Mar 28 2018