A341254 a(n) = floor(r*floor(r*n)), where r = (2 + sqrt(5))/2.

4, 8, 12, 16, 21, 25, 29, 33, 40, 44, 48, 52, 57, 61, 65, 69, 76, 80, 84, 88, 93, 97, 101, 105, 110, 116, 120, 124, 129, 133, 137, 141, 146, 152, 156, 160, 165, 169, 173, 177, 182, 186, 192, 196, 201, 205, 209, 213, 218, 222, 228, 232, 237, 241, 245, 249

Offset

1,1

Comments

Conjecture: 1/4 < n*r^2 - a(n) < 3 for n >= 1.

Links

Table of n, a(n) for n=1..56.

Mathematica

z = 50; r = GoldenRatio + 1/2; f[x_] := Floor[r*Floor[r*x]];
Table[f[n], {n, 1, 120} ] (* A341254 *)

Crossrefs

Cf. A341255.

Sequence in context: A311255 A190885 A004976 * A311256 A311257 A311258

Adjacent sequences: A341251 A341252 A341253 * A341255 A341256 A341257

Keyword

nonn,easy

Author

Clark Kimberling, Feb 13 2021

Status

approved