A022164 First column of spectral array W(sqrt(5)-1).

1, 2, 3, 4, 7, 8, 9, 11, 13, 14, 16, 17, 19, 21, 22, 23, 25, 27, 28, 29, 30, 33, 34, 35, 37, 39, 40, 42, 43, 45, 46, 48, 49, 51, 53, 54, 55, 56, 59, 60, 61, 63, 65, 66, 67, 69, 71, 72, 74, 75, 77, 79, 80, 81, 82, 85, 86, 87, 88, 91, 92, 93, 95, 97, 98, 100

Offset

1,2

Links

G. C. Greubel, Table of n, a(n) for n = 1..5000

A. Fraenkel and C. Kimberling, Generalized Wythoff arrays, shuffles and interspersions, Discrete Mathematics 126 (1994) 137-149.

Mathematica

Table[Floor[(Sqrt[5] - 1)*Floor[(Sqrt[5] - 1)*n]], {n, 1, 50}] (* G. C. Greubel, May 27 2018 *)

Prog

(PARI) a(n) = floor((sqrt(5)-1)*floor((sqrt(5)-1)*n)); \\ Michel Marcus, Mar 05 2014
(Magma) [Floor((Sqrt(5)-1)*Floor(n*(Sqrt(5)-1))): n in [1..50]]; // G. C. Greubel, May 27 2018

Crossrefs

Cf. A022165.

Sequence in context: A037080 A167055 A022162 * A074215 A145487 A061856

Adjacent sequences: A022161 A022162 A022163 * A022165 A022166 A022167

Keyword

nonn

Author

Clark Kimberling

Extensions

More terms from Michel Marcus, Mar 05 2014

Status

approved