A189368 a(n) = n + [n*r/s] + [n*t/s]; r=2, s=sqrt(2), t=sqrt(3).

3, 6, 10, 13, 18, 21, 24, 28, 32, 36, 39, 42, 46, 50, 54, 57, 61, 65, 68, 72, 75, 79, 83, 86, 90, 93, 98, 101, 105, 108, 111, 116, 119, 123, 126, 130, 134, 137, 141, 144, 148, 152, 155, 159, 163, 167, 170, 173, 178, 181, 185, 188, 191, 196, 199, 203, 206, 211, 214, 217, 221, 224, 229, 232, 235, 239

Offset

1,1

Comments

See A189367.

Links

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

Bernard J. Laurenzi, Special values of the Lommel functions and associated integrals, arXiv:1901.03384 [math.CA], 2019.

Mathematica

r = 2; s = Sqrt[2]; t = Sqrt[3];
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}]  (* A189367 *)
Table[g[n], {n, 1, 120}]  (* A189368 *)
Table[h[n], {n, 1, 120}]  (* A189369 *)

Prog

(PARI) for(n=1, 100, print1(n + floor(2*n/sqrt(2)) + floor(n*sqrt(3)/sqrt(2)), ", ")) \\ G. C. Greubel, Apr 20 2018
(Magma) [n + Floor(2*n/Sqrt(2)) + Floor(n*Sqrt(3)/Sqrt(2)): n in [1..100]]; // G. C. Greubel, Apr 20 2018

Crossrefs

Cf. A189367, A189369.

Sequence in context: A276219 A267593 A248221 * A128039 A027428 A136850

Adjacent sequences: A189365 A189366 A189367 * A189369 A189370 A189371

Keyword

nonn

Author

Clark Kimberling, Apr 20 2011

Status

approved