A190330 a(n) = n + [n*r/s] + [n*t/s]; r=1, s=sqrt(2), t=1/s.

1, 4, 6, 8, 10, 13, 14, 17, 19, 22, 23, 26, 28, 30, 32, 35, 37, 39, 41, 44, 45, 48, 50, 52, 54, 57, 59, 61, 63, 66, 67, 70, 72, 75, 76, 79, 81, 83, 85, 88, 89, 92, 94, 97, 98, 101, 103, 105, 107, 110, 112, 114, 116, 119, 120, 123, 125, 128, 129, 132, 134, 136, 138, 141, 142, 145, 147, 150, 151, 154, 156, 158, 160, 163, 165, 167

Offset

1,2

Comments

See A190329.

Links

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

Maple

r:=1: s:=sqrt(2): t:=1/s:  seq(n+floor(n*r/s)+floor(n*t/s), n=1..10^4); # Muniru A Asiru, Jan 31 2018

Mathematica

r=1; s=2^(1/2); t=1/s;
a[n_] := n + Floor[n*s/r] + Floor[n*t/r];
b[n_] := n + Floor[n*r/s] + Floor[n*t/s];
c[n_] := n + Floor[n*r/t] + Floor[n*s/t];
Table[a[n], {n, 1, 120}]  (*A190329*)
Table[b[n], {n, 1, 120}]  (*A190330*)
Table[c[n], {n, 1, 120}]  (*A187338*)
Table[n + Floor[n/Sqrt[2]] + Floor[n/2], {n, 1, 50}] (* G. C. Greubel, Jan 30 2018 *)

Prog

(PARI) for(n=1, 50, print1(n + floor(n/sqrt(2)) + floor(n/2), ", ")) \\ G. C. Greubel, Jan 30 2018
(Magma) [n + Floor(n/Sqrt(2)) + Floor(n/2): n in [1..50]]; // G. C. Greubel, Jan 30 2018

Crossrefs

Cf. A190329, A187338.

Sequence in context: A073669 A073670 A090169 * A186291 A189473 A189383

Adjacent sequences: A190327 A190328 A190329 * A190331 A190332 A190333

Keyword

nonn

Author

Clark Kimberling, May 08 2011

Status

approved