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A187969
a(n) = [nr+kr]-[nr]-[kr], where r=sqrt(2), k=3, [ ]=floor.
4
0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0
OFFSET
1
COMMENTS
See A187950.
LINKS
FORMULA
a(n) = [(n+3)*r] - [n*r] - [3*r], where r=sqrt(2).
MATHEMATICA
r=2^(1/2);
seqA=Table[Floor[(n+3)r]-Floor[n*r]-Floor[3r], {n, 1, 220}] (* A187969 *)
Flatten[Position[seqA, 0] ] (* A187970 *)
Flatten[Position[seqA, 1] ] (* A187971 *)
PROG
(PARI) for(n=1, 30, print1(floor((n+3)*sqrt(2)) - floor(n*sqrt(2)) - floor(3*sqrt(2)), ", ")) \\ G. C. Greubel, Jan 31 2018
(Magma) [Floor((n+3)*Sqrt(2)) - Floor(n*Sqrt(2)) - Floor(3*Sqrt(2)): n in [1..30]]; // G. C. Greubel, Jan 31 2018
CROSSREFS
KEYWORD
nonn
AUTHOR
Clark Kimberling, Mar 17 2011
STATUS
approved