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math.NT2006★ 25 cited
Regularity properties of the Stern enumeration of the rationals
Bruce Reznick
The Stern sequence (s(n)) is defined by s(0) = 0, s(1) = 1, s(2n) = s(n), s(2n+1) = s(n) + s(n+1). Stern showed in 1858 that gcd(s(n),s(n+1)) = 1, and that for every pair of relati…
math.CO2006★ 11 cited
Clean Lattice Tetrahedra
Bruce Reznick
A clean lattice tetrahedron is a non-degenerate tetrahedron with the property that the only lattice points on its boundary are its vertices. We present some new proofs of old resul…