A101803 Nearest integer to n*(phi-1), where phi is golden ratio 1.618033988749895... (A001622).
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
Offset: 0
Keywords
Links
- Ron Knott, Fibonacci Numbers, the Golden Section and the Golden String.
- Eric Weisstein's World of Mathematics, Golden Ratio.
Programs
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Mathematica
Table[Round[n(GoldenRatio-1)],{n,0,80}] (* Harvey P. Dale, Jun 12 2022 *) -
PARI
a(n) = round(n*(sqrt(5)-1)/2); \\ Michel Marcus, May 23 2020
Formula
a(n) = round(n*phi) where phi is the smaller golden ratio value, .618033988749895....
Comments