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 A194145 Beatty sequence for -1+sqrt(6), a(n) = floor(n*(-1+sqrt(6))); complement of A194146. 3
 1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 15, 17, 18, 20, 21, 23, 24, 26, 27, 28, 30, 31, 33, 34, 36, 37, 39, 40, 42, 43, 44, 46, 47, 49, 50, 52, 53, 55, 56, 57, 59, 60, 62, 63, 65, 66, 68, 69, 71, 72, 73, 75, 76, 78, 79, 81, 82, 84, 85, 86, 88, 89, 91, 92, 94, 95, 97, 98 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Beatty sequence for 1.449489742783... Beatty sequences occur in complementary pairs; the complement of this is the Beatty sequence for 2+(1/2)*sqrt(6), at A194146. LINKS Table of n, a(n) for n=1..68. Index entries for sequences related to Beatty sequences MATHEMATICA r=-1+Sqrt[6]; c[k_]:=Floor[k*r]; Table[c[k], {k, 1, 90}] (* A194145 *) s=r/(r-1); d[k_]:=Floor[k*s]; Table[d[k], {k, 1, 90}] (* A194146 *) PROG (Python) from sympy import integer_nthroot def A194145(n): return integer_nthroot(6*n**2, 2)[0]-n # Chai Wah Wu, Mar 16 2021 CROSSREFS Cf. A194146. Sequence in context: A072633 A037087 A320829 * A330116 A189784 A062005 Adjacent sequences: A194142 A194143 A194144 * A194146 A194147 A194148 KEYWORD nonn AUTHOR Clark Kimberling, Aug 17 2011 STATUS approved

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Last modified November 29 16:16 EST 2023. Contains 367445 sequences. (Running on oeis4.)