A300763 a(n) = ceiling(n/g^3), where g = (1+sqrt(5))/2 is the golden ratio.

0, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 18, 18

Offset

0,6

Links

Altug Alkan, Table of n, a(n) for n = 0..1000

Formula

a(n) = ceiling(n/t) where t = 2*g + 1 = 2 + sqrt(5). - Altug Alkan, Jul 02 2018

Mathematica

Array[Ceiling[#/GoldenRatio^3] &, 90, 0] (* Robert G. Wilson v, Jul 02 2018 *)

Prog

(PARI) a(n) = my(t=2+sqrt(5)); ceil(n/t); \\ Altug Alkan, Jul 02 2018

Crossrefs

Cf. A001622, A019446, which is ceiling(n/g), A189663, which is ceiling(n/g^2) (but shifted by one).

Cf. A098317.

Sequence in context: A235492 A226762 A347697 * A359276 A002265 A242601

Adjacent sequences: A300760 A300761 A300762 * A300764 A300765 A300766

Keyword

nonn

Author

Jeffrey Shallit, Jul 02 2018

Status

approved