%I #12 May 20 2017 21:52:55
%S 7,14,24,31,41,48,55,65,72,82,89,96,106,113,123,130,140,147,154,164,
%T 171,181,188,195,205,212,222,229,239,246,253,263,270,280,287,294,304,
%U 311,321,328,335,345,352,362,369,379,386,393,403,410,420,427,434,444,451,461,468,478,485,492,502,509,519,526,533,543,550
%N Positions of 1 in the zero-one sequence [nr+3r]-[nr]-[3r], where r=1/sqrt(2).
%C See A187950.
%C Positions of 1 in the {0->000, 11->null}-transform of the Sturmian word A080764; see A286996. Also, a(n) - a(n-1) is in {7,10} for n >= 1, and a(n)/n -> 4 + 3*sqrt(2). - _Clark Kimberling_, May 20 2017
%H Chai Wah Wu, <a href="/A188383/b188383.txt">Table of n, a(n) for n = 1..10000</a>
%t r=2^(-1/2); k=3;
%t t=Table[Floor[n*r+k*r]-Floor[n*r]-Floor[k*r], {n,1,220}]
%t Flatten[Position[t,1] ] (* A188383 *)
%o (Python)
%o from __future__ import division
%o from gmpy2 import isqrt
%o A188383_list = [n for n in range(1,10**6) if isqrt((n+3)**2//2) - isqrt(n**2//2) == 3] # _Chai Wah Wu_, Oct 08 2016
%Y Cf. A187950.
%K nonn
%O 1,1
%A _Clark Kimberling_, Mar 30 2011