Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #9 Jun 15 2021 16:51:25
%S 0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,1,
%T 0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,1,
%U 0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0
%N [nr]-[nr-r], where r=1/sqrt(2), [ ]=floor.
%C See A188014.
%C These are the first differences of A049472, so a(n) = A080764(n-2). - R. J. Mathar, Apr 19 2011
%F a(n)=[nr]-[r(n-1)], where r=1/sqrt(2), [nr] = A049472(n).
%t r=2^(-1/2)); k=1;
%t t=Table[Floor[n*r]-Floor[(n-k)*r]-Floor[k*r],{n,1,220}] (*A188295*)
%t Flatten[Position[t,0]] (*A083051*)
%t Flatten[Position[t,1]] (*A087057*)
%t With[{c=1/Sqrt[2]},Table[Floor[c n]-Floor[c n-c],{n,130}]] (* _Harvey P. Dale_, Jun 15 2021 *)
%Y Cf. A188014, A083051, A087057, A187967.
%K nonn
%O 1
%A _Clark Kimberling_, Mar 26 2011