A189755 n + floor( nr/t ) + floor( ns/t ), where r=1, s=arctan(1/3), t=arctan(3).

1, 3, 5, 8, 10, 11, 13, 16, 18, 20, 21, 24, 26, 28, 30, 32, 34, 36, 38, 41, 42, 44, 46, 49, 51, 52, 54, 57, 59, 61, 62, 65, 67, 69, 72, 73, 75, 77, 80, 82, 83, 85, 88, 90, 92, 93, 96, 98, 100, 102, 104, 106, 108, 110, 113, 114, 116, 118, 121, 123, 124, 126, 129, 131, 133, 135, 137, 139, 141, 144, 145, 147, 149, 152, 154, 155, 157, 160, 162

Offset

1,2

Comments

See A189753.

First disagreement with b(n) = floor(5*n/4) + floor(4*n/5) at index 35: a(35) = 72, b(35) = 71. [Bruno Berselli, Jun 30 2014]

Links

Table of n, a(n) for n=1..79.

Mathematica

(See A189753.)
Table[n+Floor[n/ArcTan[3]]+Floor[(n*ArcTan[1/3])/ArcTan[3]], {n, 100}] (* Harvey P. Dale, Jun 06 2025 *)

Crossrefs

Cf. A189753, A189754.

Sequence in context: A360030 A087792 A192881 * A141436 A282897 A189377

Adjacent sequences: A189752 A189753 A189754 * A189756 A189757 A189758

Keyword

nonn

Author

Clark Kimberling, Apr 26 2011

Status

approved