A098005 Beatty sequence for 1/(3 - e): a(n) = floor(n/(3-e)).

3, 7, 10, 14, 17, 21, 24, 28, 31, 35, 39, 42, 46, 49, 53, 56, 60, 63, 67, 70, 74, 78, 81, 85, 88, 92, 95, 99, 102, 106, 110, 113, 117, 120, 124, 127, 131, 134, 138, 141, 145, 149, 152, 156, 159, 163, 166, 170, 173, 177, 181, 184, 188, 191, 195, 198, 202, 205, 209

Offset: 1

Author

Roger L. Bagula, Sep 07 2004

Keywords

• nonn

Comments

Let r = 1/(3-e) and s = e-2. Then 1/r + 1/s = 1, so that [r*n] and [s*n] represent a complementary pair of Beatty sequences, A098005 and A000062; r and s are the fractional parts of -e and e.

Crossrefs

Cf. A000062 is complement of A098005.

Programs

Mathematica

Table[Floor[n/(3-E)],{n,1,100}]

Formula

a(n) = floor(n/(3-e)).

Extensions

Edited by Clark Kimberling, Aug 24 2011