A187387 Floor(r*n), where r=1+sqrt(6)+sqrt(5); complement of A187388.

5, 11, 17, 22, 28, 34, 39, 45, 51, 56, 62, 68, 73, 79, 85, 90, 96, 102, 108, 113, 119, 125, 130, 136, 142, 147, 153, 159, 164, 170, 176, 181, 187, 193, 198, 204, 210, 216, 221, 227, 233, 238, 244, 250, 255, 261, 267, 272, 278, 284, 289, 295, 301, 307, 312, 318, 324, 329, 335, 341, 346, 352, 358, 363, 369, 375, 380, 386, 392, 397

Offset

1,1

Comments

A187387 and A187388 are the Beatty sequences based on r=1+sqrt(6)+sqrt(5) and s=1+sqrt(6)-sqrt(5); 1/r+1/s=1.

Links

Table of n, a(n) for n=1..70.

Formula

a(n)=floor(r*n), where r=1+sqrt(6)+sqrt(5).

Mathematica

k=6; r=1+k^(1/2)+(k-1)^(1/2); s=1+k^(1/2)-(k-1)^(1/2);
Table[Floor[r*n], {n, 1, 80}]  (* A187387 *)
Table[Floor[s*n], {n, 1, 80}]  (* A187388 *)

Crossrefs

Cf. A187388.

Sequence in context: A314218 A314219 A314220 * A314221 A190334 A314222

Adjacent sequences: A187384 A187385 A187386 * A187388 A187389 A187390

Keyword

nonn

Author

Clark Kimberling, Mar 09 2011

Status

approved