A379801 Nearest integer to n*(1+sqrt(6))/2.

0, 2, 3, 5, 7, 9, 10, 12, 14, 16, 17, 19, 21, 22, 24, 26, 28, 29, 31, 33, 34, 36, 38, 40, 41, 43, 45, 47, 48, 50, 52, 53, 55, 57, 59, 60, 62, 64, 66, 67, 69, 71, 72, 74, 76, 78, 79, 81, 83, 85, 86, 88, 90, 91, 93, 95, 97, 98, 100, 102, 103, 105, 107, 109, 110, 112, 114, 116, 117, 119, 121, 122, 124, 126, 128, 129, 131, 133, 135

Offset: 0

Author

N. J. A. Sloane, Jan 19 2025

Keywords

• nonn

Comments

The floor of n*(1+sqrt(6))/2 is A379805. [Corrected by Jinyuan Wang, Jan 20 2025]

Links

• Paolo Xausa, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A000201, A379800, A379805.

Programs

Mathematica

Round[Range[0, 100]*(1 + Sqrt[6])/2] (* Paolo Xausa, Jan 21 2025 *)

PARI

a(n) = round(n*(1+quadgen(24))/2); \\ Michel Marcus, Jan 20 2025