A000062 - OEIS

A000062

A Beatty sequence: a(n) = floor(n/(e-2)).
(Formerly M0948 N0355)

1, 2, 4, 5, 6, 8, 9, 11, 12, 13, 15, 16, 18, 19, 20, 22, 23, 25, 26, 27, 29, 30, 32, 33, 34, 36, 37, 38, 40, 41, 43, 44, 45, 47, 48, 50, 51, 52, 54, 55, 57, 58, 59, 61, 62, 64, 65, 66, 68, 69, 71, 72, 73, 75, 76, 77, 79, 80, 82, 83, 84, 86, 87, 89, 90, 91, 93, 94, 96, 97, 98

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

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

Christian G. Bower, Table of n, a(n) for n = 1..1000

I. G. Connell, Some properties of Beatty sequences I, Canad. Math. Bull., 2 (1959), 190-197.

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

J. Lambek and L. Moser, Inverse and complementary sequences of natural numbers, Amer. Math. Monthly, 61 (1954), 454-458.

J. Lambek and L. Moser, On some two way classifications of integers, Canad. Math. Bull. 2 (1959), 85-89.

Index entries for sequences related to Beatty sequences

MAPLE

for n from 1 to 200 do printf(`%d, `, floor( n/(exp(1)-2))) od:

MATHEMATICA

Table[Floor[n/(E-2)], {n, 100}] (* Vladimir Joseph Stephan Orlovsky, Jan 24 2012 *)

PROG

(PARI) a(n)=floor( n/(exp(1)-2) ) \\ Hauke Worpel (thebigh(AT)outgun.com), Jun 11 2008

(Magma) [Floor( n/(Exp(1)-2) ): n in [1..80]]; // Vincenzo Librandi, Mar 27 2015

CROSSREFS

Cf. A194807 (1/(e-2)).

Sequence in context: A087118 A249115 A039032 * A247964 A047317 A288998

Adjacent sequences: A000059 A000060 A000061 * A000063 A000064 A000065

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from James A. Sellers, Feb 19 2001

STATUS

approved