A000210 A Beatty sequence: floor(n*(e-1)).

1, 3, 5, 6, 8, 10, 12, 13, 15, 17, 18, 20, 22, 24, 25, 27, 29, 30, 32, 34, 36, 37, 39, 41, 42, 44, 46, 48, 49, 51, 53, 54, 56, 58, 60, 61, 63, 65, 67, 68, 70, 72, 73, 75, 77, 79, 80, 82, 84, 85, 87, 89, 91, 92, 94, 96, 97, 99, 101, 103, 104, 106, 108, 109, 111, 113, 115, 116

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn

Comments

The first 38 terms coincide with the corresponding terms of A082977, i.e., numbers that are congruent to {0, 1, 3, 5, 6, 8, 10} mod 12. - Giovanni Resta, Mar 24 2006

References

• N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
• N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

• Alois P. Heinz, Table of n, a(n) for n = 1..1000
• I. G. Connell, Some properties of Beatty sequences II, Canad. Math. Bull., 3 (1960), 17-22.
• Index entries for sequences related to Beatty sequences

Programs

Maple

a:= n-> floor (n*(exp(1)-1)): seq (a(n), n=1..200); # Alois P. Heinz, Aug 25 2008

Mathematica

Table[Floor[n*(E - 1)], {n, 0, 100}] (* T. D. Noe, Jan 21 2013 *)

Extensions

More terms from James Sellers, Jul 06 2000