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 A120752 Numbers k such that {rk} <= c, where r = (1/2)^(1/2), c = 1/2 and { } denotes fractional part. 4
 2, 3, 6, 9, 10, 12, 13, 16, 17, 19, 20, 23, 26, 27, 30, 33, 34, 36, 37, 40, 43, 44, 47, 50, 51, 53, 54, 57, 58, 60, 61, 64, 67, 68, 70, 71, 74, 75, 77, 78, 81, 84, 85, 88, 91, 92, 94, 95, 98, 99, 101, 102, 105, 108, 109, 111, 112, 115, 116, 118, 119, 122, 125, 126, 129, 132 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Positions of 0 in A083035. The sequence is essentially identical to A090892 (see links). LINKS Table of n, a(n) for n=1..66. Sela Fried, Equivalent conditions for the nth element of the Beatty sequence B_sqrt(2) being even, arXiv:2301.00644 [math.HO], 2022. EXAMPLE (See A120243.) MATHEMATICA r = Sqrt[1/2]; b = 2; c = 0; f[n_] := Floor[(b*n + c)*r] - b*Floor[n*r] - Floor[c*r]; t = Table[f[n], {n, 1, 200}] (* A083035 *) Flatten[Position[t, 0]] (* A120752 *) Flatten[Position[t, 1]] (* A120753 *) CROSSREFS Cf. A083035, A120753, A190762. Sequence in context: A032938 A188323 A090892 * A236759 A134695 A323393 Adjacent sequences: A120749 A120750 A120751 * A120753 A120754 A120755 KEYWORD nonn AUTHOR Clark Kimberling, Jul 01 2006 STATUS approved

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Last modified December 6 08:34 EST 2023. Contains 367600 sequences. (Running on oeis4.)