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 A101803 Nearest integer to n*(phi-1), where phi is golden ratio 1.618033988749895... (A001622). 4
 0, 1, 1, 2, 2, 3, 4, 4, 5, 6, 6, 7, 7, 8, 9, 9, 10, 11, 11, 12, 12, 13, 14, 14, 15, 15, 16, 17, 17, 18, 19, 19, 20, 20, 21, 22, 22, 23, 23, 24, 25, 25, 26, 27, 27, 28, 28, 29, 30, 30, 31, 32, 32, 33, 33, 34, 35, 35, 36, 36, 37, 38, 38, 39, 40, 40, 41, 41, 42, 43, 43, 44, 44, 45, 46 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS Table of n, a(n) for n=0..74. Ron Knott, Fibonacci Numbers, the Golden Section and the Golden String. Eric Weisstein's World of Mathematics, Golden Ratio. FORMULA a(n) = round(n*phi) where phi is the smaller golden ratio value, .618033988749895.... MATHEMATICA Table[Round[n(GoldenRatio-1)], {n, 0, 80}] (* Harvey P. Dale, Jun 12 2022 *) PROG (PARI) a(n) = round(n*(sqrt(5)-1)/2); \\ Michel Marcus, May 23 2020 CROSSREFS Cf. A007067, A001622, A099267, A029922. Sequence in context: A367069 A078489 A194179 * A367068 A005379 A029922 Adjacent sequences: A101800 A101801 A101802 * A101804 A101805 A101806 KEYWORD nonn AUTHOR Casey Mongoven, Jan 27 2005 STATUS approved

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Last modified April 18 22:18 EDT 2024. Contains 371782 sequences. (Running on oeis4.)