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 A252169 Beatty sequence for sqrt(Pi*phi) where phi is the golden ratio A001622. 2
 2, 4, 6, 9, 11, 13, 15, 18, 20, 22, 24, 27, 29, 31, 33, 36, 38, 40, 42, 45, 47, 49, 51, 54, 56, 58, 60, 63, 65, 67, 69, 72, 74, 76, 78, 81, 83, 85, 87, 90, 92, 94, 96, 99, 101, 103, 105, 108, 110, 112, 114, 117, 119, 121, 124, 126, 128, 130 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Karl V. Keller, Jr., Table of n, a(n) for n = 1..10000 Eric Weisstein's World of Mathematics, Beatty Sequence. Eric Weisstein's World of Mathematics, Golden Ratio Eric Weisstein's World of Mathematics, Pi FORMULA a(n) = floor(n*sqrt(Pi*phi)) = floor(n*sqrt(Pi*(1+sqrt(5))/2)). EXAMPLE For n = 5, floor(5*sqrt(Pi*(1+sqrt(5))/2)) = 11. MATHEMATICA a252169[n_] := Floor[#*Sqrt[Pi*((1 + Sqrt[5])/2)]] & /@ Range@n; a252169[58] (* Michael De Vlieger, Dec 27 2014 *) PROG (Python) from sympy import * for n in range(1, 3001): print(floor(n*sqrt(pi*(1+sqrt(5))/2)), end=', ') (PARI) vector(100, n, floor(n*sqrt(Pi*(1+sqrt(5))/2))) \\ Derek Orr, Dec 30 2014 CROSSREFS Cf. A000796 (Pi), A001622 (golden ratio, phi), A094886 (Pi*phi). Cf. A253301 (complement). Sequence in context: A248898 A207188 A085148 * A187842 A059566 A284365 Adjacent sequences:  A252166 A252167 A252168 * A252170 A252171 A252172 KEYWORD nonn,easy AUTHOR Karl V. Keller, Jr., Dec 15 2014 STATUS approved

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Last modified November 14 16:49 EST 2018. Contains 317210 sequences. (Running on oeis4.)