A215781 - OEIS

%I #20 Oct 30 2024 04:27:57

%S 0,1,2,3,3,4,5,6,6,7,8,9,9,10,11,11,12,13,14,14,15,16,17,17,18,19,20,

%T 20,21,22,22,23,24,25,25,26,27,28,28,29,30,31,31,32,33,33,34,35,36,36,

%U 37,38,39,39,40,41,41,42

%N a(n) = ceiling(n*(sqrt(3)-1)).

%C sqrt(3)-1 has continued fraction [0,1,2,1,2,1,2,...].

%H Peter G. Anderson, <a href="/A215781/b215781.txt">Table of n, a(n) for n = 0..499</a> (corrected by Ray Chandler, Jan 19 2019)

%t Table[Ceiling[n(Sqrt[3]-1)],{n,0,60}] (* _Harvey P. Dale_, Jan 15 2017 *)

%o (J)  >. ( _1 + %:3) * i.500

%Y A188070 is ceiling(n/(sqrt(3)-1)).

%K nonn,easy

%O 0,3

%A _Peter G. Anderson_, Aug 23 2012

%E Definition corrected by _N. J. A. Sloane_, Jan 15 2017