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 A334415 Nearest integer to n*(2-phi), where phi is the golden ratio (A001622). 2
 0, 0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 13, 13, 13, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 18, 18, 18, 19, 19, 19, 20, 20, 21, 21, 21, 22, 22, 23, 23, 23, 24, 24, 24, 25, 25, 26, 26, 26, 27, 27 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 LINKS Table of n, a(n) for n=0..71. FORMULA a(n) = round(n*(2-phi)). a(n) = n - A101803(n). EXAMPLE a(0) = round(0*(2-phi)) = round(0) = 0. a(1) = round(1*(2-phi)) = round(0.382) = 0. a(2) = round(2*(2-phi)) = round(0.764) = 1. MATHEMATICA a[n_] := Round[n * (2 - GoldenRatio)]; Array[a, 72, 0] (* Amiram Eldar, Jun 14 2020 *) PROG (PARI) a(n) = round(n*(2-(1+sqrt(5))/2)); \\ Michel Marcus, Jun 14 2020 CROSSREFS Cf. A001622, A101803, A132338 (2-phi), A334414, A334413. Sequence in context: A026405 A226033 A054404 * A307152 A008671 A199017 Adjacent sequences: A334412 A334413 A334414 * A334416 A334417 A334418 KEYWORD nonn AUTHOR Aresh Pourkavoos, Apr 30 2020 STATUS approved

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Last modified April 19 16:52 EDT 2024. Contains 371794 sequences. (Running on oeis4.)