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A072930 a(1)=1, a(2)=10, a(n) = floor(a(n-1)/Phi)+floor(a(n-2)/Phi) where Phi is the golden ratio (1+sqrt(5))/2 (if a(2) < 10 a(k) converges to an integer value). 0
1, 10, 6, 9, 8, 9, 9, 10, 11, 12, 13, 15, 17, 19, 21, 23, 26, 30, 34, 39, 45, 51, 58, 66, 75, 86, 99, 114, 131, 150, 172, 198, 228, 262, 301, 347, 400, 461, 531, 612, 706, 814, 939, 1083, 1249, 1440, 1660, 1914, 2207, 2546, 2937, 3388, 3908, 4508, 5201, 6000, 6922 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..57.

FORMULA

lim n -> infinity a(n)/a(n-1) = (Phi-1)/C=1.1537213755417679... where C is the positive root of x^4 -x^3+2x-1 (C=0.5356873867918...)

MATHEMATICA

RecurrenceTable[{a[1]==1, a[2]==10, a[n]==Floor[a[n-1]/GoldenRatio]+ Floor[a[n-2]/GoldenRatio]}, a, {n, 60}] (* Harvey P. Dale, Jan 27 2012 *)

CROSSREFS

Sequence in context: A102690 A076366 A105155 * A071358 A167873 A033986

Adjacent sequences:  A072927 A072928 A072929 * A072931 A072932 A072933

KEYWORD

easy,nonn

AUTHOR

Benoit Cloitre, Aug 13 2002

STATUS

approved

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Last modified December 7 20:56 EST 2016. Contains 278895 sequences.