

A300763


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


1



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
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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: A197637 A235492 A226762 * A002265 A242601 A110655
Adjacent sequences: A300760 A300761 A300762 * A300764 A300765 A300766


KEYWORD

nonn


AUTHOR

Jeffrey Shallit, Jul 02 2018


STATUS

approved



