A187329 Floor((3-sqrt(5))n).

0, 0, 1, 2, 3, 3, 4, 5, 6, 6, 7, 8, 9, 9, 10, 11, 12, 12, 13, 14, 15, 16, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 25, 25, 26, 27, 28, 29, 29, 30, 31, 32, 32, 33, 34, 35, 35, 36, 37, 38, 38, 39, 40, 41, 42, 42, 43, 44, 45, 45, 46, 47, 48, 48, 49, 50, 51, 51, 52, 53, 54, 55, 55, 56, 57, 58, 58, 59, 60, 61, 61, 62, 63, 64, 64, 65, 66, 67, 67, 68, 69, 70, 71, 71, 72, 73, 74, 74, 75, 76, 77, 77, 78, 79, 80, 80, 81, 82, 83, 84, 84, 85, 86, 87, 87, 88, 89, 90, 90, 91

Offset

0,4

Links

Table of n, a(n) for n=0..120.

Formula

a(n) = floor((3-sqrt(5))*n).

Mathematica

Table[Floor[(3-5^(1/2))n], {n, 0, 120}]

Prog

(PARI) a(n)=3*n-1-sqrtint(5*n^2) \\ Charles R Greathouse IV, Sep 02 2015

Crossrefs

Sequence in context: A057353 A076539 A074184 * A093700 A213854 A366860

Adjacent sequences: A187326 A187327 A187328 * A187330 A187331 A187332

Keyword

nonn,easy

Author

Clark Kimberling, Mar 08 2011

Status

approved