@article{Smith:1876,
	key = "Smith 1876",
	author = "Smith, H. J. S.",
	title = "Note on Continued Fractions",
	journal = MESSM,
	volume = 6,
	year = 1876,
	pages = "1-14"}

@book{Rayleigh:1877,
	key = "Rayleigh 1877",
	author = "Rayleigh, J. W. S.",
	title = "The Theory of Sound",
	volume = 1,
	address = "London",
	publisher = "Macmillan",
	year = "1877--1878",
	pages = "119-126",
	note = "Reprinted by Dover, New York, 1945"}
	
@article{Markoff:1882,
	key = "Markoff 1882",
        author = "Markoff, A. A.",
        title = "Sur une question de {Jean} {Bernoulli}",
        journal = MA,
        volume = 19,
        year = 1882,
        pages = "27-36"}

@article{Christoffel:1888,
	key = "Christoffel 1888",
	author = "Christoffel, E. B.",
        title = "{Lehrs\"atze} {\"uber} arithmetische {Eigenschaften}
der {Irrationalzahlen}",
	journal = "Annali di Matematica Pura ed Applicata, Series II",
	volume = 15 ,
	year = 1888,
	pages = "253-276"}

@article{Wythoff:1907,
	key = "Wythoff 1907",
	author = "Wythoff, W. A.",
	title = "A modification of the game of nim",
	journal = NAVW,
	volume = 7,
	year = 1907,
	pages = "199-202"}

@book{Ahrens:1910,
	key = "Ahrens 1910",
	author = "Ahrens, W.",
	title = "Mathematische Unterhaltungen und Spiele",
	volume = 1,
	publisher = TE,
	address = "Leipzig",
	year = 1910,
	pages = "84-88"}

@book{Loyd:1914,
	key = "Loyd 1914",
	author = "Loyd, S.",
	title = "Cyclopedia of Puzzles",
	publisher = "Franklin Bigelow", 
	address = "New York",
	year = 1914,
	page = "232"}

@article{Beatty:1926,
	key = "Beatty 1926",
	author = "Beatty, S.",
	title = "Problem 3173",
	journal = AMM,
	volume = 33,
	year = 1926,
	pages = "159",
	note = "Solution, {\bf 34} (1927), 159--160",
	comment = "checked"}

@article{Bricard:1926,
	key = "Bricard 1926",
	author = "Bricard, R.",
	title = "Sur un {probl\`eme} relatif aux nombres incommensurables",
	journal = NAM,
	volume = 1,
	year = 1926,
	pages = "100-103"}

@article{Uspensky:1927,
	key = "Uspensky 1927",
	author ="J. V. Uspensky",
	title = "On a problem arising out of the theory of a certain game",
	journal = AMM,
	volume = 34,
	year = 1927,
	pages = "516-521",
	comment = "checked"}

@article{Sprague:1938,
	key = "Sprague 1938",
	author = "Sprague, R.",
	title = "Ein {Satz} {\"uber} {Teilfolgen} der {Reihe} der
{nat\"urlichen} {Zahlen}",
	journal = MA,
	volume = 115,
	year = 1938,
	pages = "153-156"}

@book{Ball:1939,
	key = "Ball 1939",
	author = "Ball, W. W. R.",
	title = "Mathematical Recreations and Essays",
	note = "Revised by H. S. M. Coxeter",
	publisher = MACM,
	address = NY,
	year = 1939,
	pages = "36-40"}

@book{Uspensky&Heaslet:1939,
	key = "Uspensky and Heaslet 1939",
	author = "J. V. Uspensky and M. A. Heaslet",
	title = "Elementary Number Theory",
	publisher = MH,
	address = NY,
	year = 1939,
	pages = "16-19"}

@article{Uspensky:1946a,
	key = "Uspensky 1946a",
	author = "J. V. Uspensky",
	title = "Sobre un problema de {Juan} {Bernoulli}",
	journal = RUMA,
	volume = 11,
	year = "{\noopsort{1946a}}1946",
	pages = "141-154, 165-183, 239-255",
	note = "In Spanish"}
	
@article{Uspensky:1946b,
	key = "Uspensky 1946b",
	author = "J. V. Uspensky",
	title = "Sobre un problema de {Juan} {Bernoulli}",
	journal = RUMA,
	volume = 12,
	year = "{\noopsort{1946b}}1946",
	pages = "10-19",
	note = "In Spanish"}

@article{Lambek&Moser:1954,
	key = "Lambek and Moser 1954",
	author = "J. Lambek and L. Moser",
	title = "Inverse and complementary sequences of natural numbers",
	journal = AMM,
	volume = 61,
	year = 1954,
	pages = "454-458",
	comment = "checked"}

@article{Skolem:1957,
	key = "Skolem 1957",
	author = "T. Skolem",
	title = "On certain distributions of integers in pairs with given
differences",
	journal = MATHSCAND,
	volume = 5,
	year = 1957,
	pages = "57-68"}

@article{Bang:1957,
	key = "Bang 1957",
	author = "T. Bang",
	title = "On the sequence $[n\alpha], n=1,2,\cdots$.
{Supplementary note} to the preceding paper by {Th. Skolem}",
	journal = MATHSCAND,
	volume = 5,
	year = 1957,
	pages = "69-76"}	

@book{Pedoe:1958,
	key = "Pedoe 1958",
	author = "D. Pedoe",
	title = "The Gentle Art of Mathematics",
	publisher = DO,
	address = "New York",
	year = 1958}

@article{Stolarsky:1976a,
	key = "Stolarsky 1976a",
	author = "K. B. Stolarsky",
	title = "Beatty sequences, continued fractions,
and certain shift operators",
	journal = CMB,
	volume = 19,
	year = "{\noopsort{1976a}}1976",
	pages = "473-482"}

@article{Fraenkel&Mushkin&Tassa:1978,
	key = "Fraenkel, Mushkin, and Tassa 1978",
	author = "A. S. Fraenkel and M. Mushkin and U. Tassa",
	title = "Determination of $[n\theta]$ by its sequences of differences",
	journal = CMB,
	volume = 21,
	year = 1978,
	pages = "441-446"}

@book{Berlekamp&Conway&Guy:1982,
	key = "Berlekamp, Conway, and Guy 1982",
	author = "E. R. Berlekamp and J. H. Conway and R. K. Guy",
	title = "Winning Ways for Your Mathematical Plays",
	volume = 1,
	publisher = AP,
	address = "Toronto",
	year = 1982}

@book{Schoenberg:1982,
	key = "Schoenberg 1982",
	author = "I. J. Schoenberg",
	title = "Mathematical Time Exposures",
	publisher = MAA,
	address = "Washington, D.C.",
	year = 1982,
	pages = "39-46"}
	
@article{Porta&Stolarsky:1990,
	key = "Porta and Stolarsky 1990",
	author = "H. Porta and K. B. Stolarsky",
	title = "Half-silvered mirrors and {Wythoff's} game",
	journal = CMB,
	volume = 33,
	year = 1990,
	pages = "119-125"}

@incollection{Fraenkel&Porta&Stolarsky:1990,
	key = "Fraenkel, Porta, and Stolarsky 1990",
	author = "A. S. Fraenkel and H. Porta and K. B. Stolarsky",
	title = "Some arithmetical semigroups",
	booktitle = "Analytic Number Theory.  Proceedings of a Conference in Honor
of Paul T. Bateman",
	publisher = BB,
	editor = "B. C. Berndt and H. G. Diamond and H. Halberstam and
A. Hildebrand",
	series = PM,
	volume = 85,
	year = 1990,
	pages = "255-264"}

@incollection{Chudnovsky&Chudnovsky:1996,
	key = "Chudnovsky and Chudnovsky 1996",
	author = "D. V. Chudnovsky and G. V. Chudnovsky",
	title = "Diophantine approximation problem arising from {VLSI} design",
	booktitle = "Number Theory, New York Seminar 1991--1995",
	editor = "D. V. Chudnovsky and G. V. Chudnovsky and M. B. Nathanson",
	publisher = SV,
	year = 1996,
	pages = "71-90"}

@article{Ellis&Steele:1981,
	key = "Ellis and Steele 1981",
	author = "M. H. Ellis and J. M. Steele",
	title = "Fast sorting of {Weyl} sequences using comparisons",
	journal = SIAMJC,
	volume = 10,
	year = 1981,
	pages = "88-95"}

@article{Devroye&Goudjil:1998,
	key = "Devroye and Goudjil 1998",
	author = "L. Devroye and A. Goudjil",
	title = "A study of random {Weyl} trees",
	journal = RSTRUCT,
	volume = 12,
	year = 1998,
	pages = "271-295"}