A188222 Beatty sequence for (sqrt(5) + 3)/4.

1, 2, 3, 5, 6, 7, 9, 10, 11, 13, 14, 15, 17, 18, 19, 20, 22, 23, 24, 26, 27, 28, 30, 31, 32, 34, 35, 36, 37, 39, 40, 41, 43, 44, 45, 47, 48, 49, 51, 52, 53, 54, 56, 57, 58, 60, 61, 62, 64, 65, 66, 68, 69, 70, 71, 73, 74, 75, 77, 78, 79, 81, 82, 83, 85, 86, 87, 89, 90, 91, 92, 94, 95, 96, 98, 99, 100, 102, 103, 104, 106, 107, 108

Offset: 1

Author

Clark Kimberling, Mar 24 2011

Keywords

• nonn

Comments

Positions of 0 in A188221. See A187950, A188221.

Crossrefs

Complement of A004976.

Cf. A187950, A188221.

Programs

Mathematica

(See A188221.)

PARI

a(n) = {(sqrtint(5*n^2) + 3*n) \ 4} \\ Andrew Howroyd, Dec 21 2024

Formula

a(n) = floor(n*(sqrt(5) + 3)/4). - Pooya Farshim, Dec 21 2024

Extensions

New name from Pooya Farshim, Dec 21 2024