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A101803 Nearest integer to n*(phi-1), where phi is golden ratio 1.618033988749895... (A001622). +0
2
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; listen)
OFFSET

0,4

LINKS

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....

CROSSREFS

Cf. A007067, A001622, A099267, A029922.

Sequence in context: A076370 A112318 A078489 this_sequence A005379 A029922 A020915

Adjacent sequences: A101800 A101801 A101802 this_sequence A101804 A101805 A101806

KEYWORD

nonn

AUTHOR

Casey Mongoven (cm(AT)caseymongoven.com), Jan 27 2005

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Last modified November 30 22:12 EST 2008. Contains 150989 sequences.


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