A190242 a(n) = [n*u+n*v]-[n*u]-[n*v], where u=sqrt(2), v=sqrt(3), and []=floor.

1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1

Offset

1

Links

G. C. Greubel, Table of n, a(n) for n = 1..10000

Mathematica

u = 2^(1/2); v = 3^(1/2);
f[n_] := Floor[n*u + n*v] - Floor[n*u] - Floor[n*v]
t = Table[f[n], {n, 1, 120}] (*A190242*)
Flatten[Position[t, 0]]      (*A190243*)
Flatten[Position[t, 1]]      (*A190244*)

Prog

(PARI) for(n=1, 30, print1(floor(n*(sqrt(2) + sqrt(3))) - floor(n*sqrt(2)) - floor(n*sqrt(3)), ", ")) \\ G. C. Greubel, Dec 26 2017
(Magma) [Floor(n*(Sqrt(2) + Sqrt(3))) - Floor(n*Sqrt(2)) - Floor(n*Sqrt(3)): n in [1..30]]; // G. C. Greubel, Dec 26 2017

Crossrefs

Cf. A190243, A190244.

Sequence in context: A140820 A275661 A266716 * A167501 A285533 A185175

Adjacent sequences: A190239 A190240 A190241 * A190243 A190244 A190245

Keyword

nonn

Author

Clark Kimberling, May 06 2011

Status

approved