A000210 A Beatty sequence: floor(n*(e-1)). (Formerly M2393 N0950)

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

1,2

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

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 *)

Crossrefs

Sequence in context: A320997 A083042 A082977 * A329829 A182760 A292646

Adjacent sequences: A000207 A000208 A000209 * A000211 A000212 A000213

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from James A. Sellers, Jul 06 2000

Status

approved