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A140979 Floor(2*phi*floor(n*phi)) where phi = A001622. 1
3, 9, 12, 19, 25, 29, 35, 38, 45, 51, 55, 61, 67, 71, 77, 80, 87, 93, 97, 103, 106, 113, 119, 122, 129, 135, 139, 145, 148, 155, 161, 165, 171, 177, 181, 187, 190, 197, 203, 207, 213, 216, 223, 229, 232, 239, 245, 249, 255, 258, 265, 271, 275, 281, 284, 291, 297, 300, 307, 313, 317, 323, 326, 333, 339, 343, 349, 355 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..68.

Shiri Artstein-Avidan, Aviezri S. Fraenkel and Vera T. Sos, A two-parameter family of an extension of Beatty, Discr. Math. 308 (2008), 4578-4588.

Shiri Artstein-avidan, Aviezri S. Fraenkel and Vera T. Sos, A two-parameter family of an extension of Beatty sequences, Discrete Math., 308 (2008), 4578-4588.

MAPLE

Digits := 200: a001622:= (1+sqrt(5))/2 : A140979 := proc(n) global a001622 ; floor(2*a001622*floor(n*a001622)) ; end: for n from 1 to 100 do printf("%d, ", A140979(n)); end:

MATHEMATICA

Table[Floor[2*GoldenRatio*Floor[n*GoldenRatio]], {n, 70}] (* Harvey P. Dale, Feb 25 2018 *)

CROSSREFS

Cf. A000201.

Sequence in context: A297001 A309394 A285564 * A096726 A272027 A310323

Adjacent sequences:  A140976 A140977 A140978 * A140980 A140981 A140982

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Sep 04 2008

EXTENSIONS

Corrected definition, extended, added Maple program. - R. J. Mathar, Sep 05 208

STATUS

approved

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Last modified April 11 18:00 EDT 2021. Contains 342888 sequences. (Running on oeis4.)