A190345 a(n) = n + [n*r/s] + [n*t/s]; r=1, s=sqrt(5/2), t=sqrt(2/5).

1, 3, 5, 7, 10, 11, 13, 16, 17, 20, 21, 23, 26, 27, 30, 32, 33, 36, 38, 40, 42, 43, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 71, 72, 74, 77, 78, 81, 82, 84, 87, 88, 91, 93, 94, 97, 98, 101, 103, 104, 107, 109, 111, 113, 115, 117, 119, 121, 123, 125, 127, 129, 132, 133, 135, 138, 139, 142, 143, 145, 148, 149, 152

Offset

1,2

Comments

See A190344.

Links

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

Formula

A190344: f(n) = n + [n*sqrt(5/2)] + [n*sqrt(2/5)].

A190345: g(n) = n + [n*sqrt(2/5)] + [2*n/5].

A190346: h(n) = 3*n + [n*sqrt(5/2)] + [n/2].

Mathematica

r=1; s=(5/2)^(1/2); t=1/s;
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}]  (* A190344 *)
Table[g[n], {n, 1, 120}]  (* A190345 *)
Table[h[n], {n, 1, 120}]  (* A190346 *)

Prog

(PARI) for(n=1, 100, print1(n + floor(n*sqrt(2/5)) + floor(2*n/5), ", ")) \\ G. C. Greubel, Apr 05 2018
(Magma) [n + Floor(n*Sqrt(2/5)) + Floor(2*n/5): n in [1..100]]; // G. C. Greubel, Apr 05 2018

Crossrefs

Cf. A190344, A190346.

Sequence in context: A246955 A167907 A306639 * A189516 A138968 A299498

Adjacent sequences: A190342 A190343 A190344 * A190346 A190347 A190348

Keyword

nonn

Author

Clark Kimberling, May 09 2011

Status

approved