A190362 a(n) = n + [n*r/s] + [n*t/s]; r=1, s=sqrt(5/4), t=sqrt(4/5).

1, 4, 7, 10, 13, 15, 18, 21, 24, 26, 28, 31, 34, 37, 40, 42, 45, 48, 50, 53, 55, 58, 61, 64, 67, 69, 72, 75, 77, 80, 82, 85, 88, 91, 94, 96, 99, 101, 104, 107, 109, 112, 115, 118, 121, 123, 126, 128, 131, 134, 136, 139, 142, 145, 148, 150, 152, 155, 158, 161, 163, 166, 169, 172, 175, 177, 179, 182, 185, 188, 190, 193, 196, 199, 202

Offset

1,2

Comments

See A190361.

Links

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

Formula

A190361: f(n) = n + [n*sqrt(5/4)] + [n*sqrt(4/5)].

A190362: g(n) = n + [n*sqrt(4/5)] + [4*n/5].

A190363: h(n) = 2*n + [n*sqrt(5/4)] + [n/4].

Mathematica

r=1; s=(5/4)^(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}]  (* A190361 *)
Table[g[n], {n, 1, 120}]  (* A190362 *)
Table[h[n], {n, 1, 120}]  (* A190363 *)

Prog

(PARI) for(n=1, 100, print1(n + floor(n*sqrt(4/5)) + floor(4*n/5), ", ")) \\ G. C. Greubel, Apr 05 2018
(Magma) [n + Floor(n*Sqrt(4/5)) + Floor(4*n/5): n in [1..100]]; // G. C. Greubel, Apr 05 2018

Crossrefs

Cf. A190361.

Sequence in context: A055054 A196415 A186327 * A184904 A189514 A310677

Adjacent sequences: A190359 A190360 A190361 * A190363 A190364 A190365

Keyword

nonn

Author

Clark Kimberling, May 09 2011

Status

approved