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- W2334191667 abstract "Abstract Let θ = θ ( k ) be the positive root of θ 2 + ( k -2) θ - k = 0. Let f ( n ) = [( n + l) θ ]-[n θ ] for positive integers n , where [ x ] denotes the greatest integer in x . Then the elements of the infinite sequence ( f (l), f (2), f (3),…) can be rapidly generated from the finite sequence ( f (l), f (2),…, f ( k )) by means of certain shift operators. For k = 1 we can generate (the characteristic function of) the sequence [ n θ ] itself in this manner." @default.
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- W2334191667 date "1976-12-01" @default.
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- W2334191667 title "Beatty Sequences, Continued Fractions, and Certain Shift Operators" @default.
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- W2334191667 doi "https://doi.org/10.4153/cmb-1976-071-6" @default.
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