A101803 - OEIS

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

(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