A004945 a(n) = round(n*phi^10), where phi is the golden ratio, A001622.

0, 123, 246, 369, 492, 615, 738, 861, 984, 1107, 1230, 1353, 1476, 1599, 1722, 1845, 1968, 2091, 2214, 2337, 2460, 2583, 2706, 2829, 2952, 3075, 3198, 3321, 3444, 3567, 3690, 3813, 3936, 4059, 4182

Offset

0,2

Links

Zhuorui He, Table of n, a(n) for n = 0..10000

Tanya Khovanova, Non Recursions.

Formula

a(n) = round(n*(123+55*sqrt(5))/2). - Zhuorui He, Oct 08 2025

Mathematica

With[{c=GoldenRatio^10}, Round[c*Range[0, 40]]] (* Harvey P. Dale, Feb 14 2023 *)

Crossrefs

Cf. A004925, A004965, A001622.

Sequence in context: A193431 A306643 A303241 * A004965 A216382 A037139

Adjacent sequences: A004942 A004943 A004944 * A004946 A004947 A004948

Keyword

nonn

Author

N. J. A. Sloane

Status

approved