A006594 A Beatty sequence: floor(n*(1 + 1/e)). (Formerly M0947)

1, 2, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 17, 19, 20, 21, 23, 24, 25, 27, 28, 30, 31, 32, 34, 35, 36, 38, 39, 41, 42, 43, 45, 46, 47, 49, 50, 51, 53, 54, 56, 57, 58, 60, 61, 62, 64, 65, 67, 68, 69, 71, 72, 73, 75, 76, 77, 79, 80, 82, 83, 84, 86, 87, 88, 90, 91, 93, 94, 95, 97

Offset

1,2

References

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

Links

G. C. Greubel, Table of n, a(n) for n = 1..10000

I. G. Connell, Some properties of Beatty sequences II, Canad. Math. Bull., 3 (1960), 17-22.

Index entries for sequences related to Beatty sequences

Mathematica

Table[Floor[n(1+1/E)], {n, 80}] (* Harvey P. Dale, Dec 05 2016 *)

Prog

(Magma)
A006594:= func< n | Floor(n*(1+Exp(-1))) >;
[A006594(n): n in [1..100]]; // G. C. Greubel, Aug 28 2025
(SageMath)
def A006594(n): return floor(n*(1+exp(-1)))
print([A006594(n) for n in range(1, 101)]) # G. C. Greubel, Aug 28 2025

Crossrefs

Cf. A000572.

Sequence in context: A247778 A003511 A059567 * A172276 A260483 A143028

Adjacent sequences: A006591 A006592 A006593 * A006595 A006596 A006597

Keyword

nonn,changed

Author

N. J. A. Sloane

Extensions

More terms from Larry Reeves (larryr(AT)acm.org), Feb 07 2001

Status

approved