A189371 a(n) = n + [n*r/s] + [n*t/s]; r=1, s=sqrt(2), t=sqrt(5).

2, 6, 9, 12, 15, 19, 22, 25, 29, 32, 35, 38, 42, 45, 48, 52, 55, 58, 62, 65, 68, 71, 75, 77, 81, 85, 88, 91, 94, 98, 101, 104, 108, 111, 114, 117, 121, 124, 127, 131, 133, 137, 140, 144, 147, 150, 154, 156, 160, 164, 167, 170, 173, 177, 179, 183, 187, 190, 193, 196, 200, 203, 206, 210, 212, 216, 219, 223, 226, 229, 233, 235, 239, 243, 246, 249, 252, 256, 258, 262, 266, 268, 272

Offset

1,1

Comments

See A189370.

Links

G. C. Greubel, Table of n, a(n) for n = 1..10000

Mathematica

r = 1; s = Sqrt[2]; t = Sqrt[5];
f[n_] := n + Floor[n*s/r] + Floor[n*t/r];
g[n_] := n + Floor[n*r/s] + Floor[n*t/s];
h[n_] := n + Floor[n*r/t] + Floor[n*s/t]
Table[f[n], {n, 1, 120}]  (* A189370 *)
Table[g[n], {n, 1, 120}]  (* A189371 *)
Table[h[n], {n, 1, 120}]  (* A189372 *)

Prog

(PARI) for(n=1, 100, print1(n + floor(n/sqrt(2)) + floor(n*sqrt(5)/sqrt(2)), ", ")) \\ G. C. Greubel, Apr 20 2018
(Magma) [n + Floor(n/Sqrt(2)) + Floor(n*Sqrt(5)/Sqrt(2)): n in [1..100]]; // G. C. Greubel, Apr 20 2018

Crossrefs

Cf. A189370, A189372.

Sequence in context: A350235 A189752 A206813 * A190059 A190332 A187912

Adjacent sequences: A189368 A189369 A189370 * A189372 A189373 A189374

Keyword

nonn

Author

Clark Kimberling, Apr 20 2011

Status

approved