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A098324
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Recurrence sequence based on positions of digits in decimal places of phi, the Golden Ratio = (1+sqrt(5))/2.
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7
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0, 4, 11, 34, 26, 67, 150, 1485, 2497, 8001, 2773, 16668, 39567, 80705, 15643, 19267, 29310, 223602, 2318795, 9376463, 7972671, 2412975, 3754694, 9560425, 1910435
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| a(1)=0, p(i)=position of first occurrence of a(i) in decimal places of phi, a(i+1)=p(i).
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EXAMPLE
| phi=1.61803398874989484820...
So for example, a(2)=4 because 4th decimal place of phi is 0.
a(3)=11 because 11th decimal place of phi is 4, a(4)=34 because 11 appears at the 34th to 35th decimal places and so on.
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MAPLE
| with(StringTools): Digits:=100000: G:=convert(evalf((1+sqrt(5))/2), string): a[0]:=0: for n from 1 to 17 do a[n]:=Search(convert(a[n-1], string), G)-2:printf("%d, ", a[n-1]):od: # Nathaniel Johnston, Apr 30 2011
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CROSSREFS
| Other recurrence sequences: A097614 for Pi, A098266 for e, A098289 for ln(2), A098290 for Zeta(3), A098319 for 1/Pi, A098320 for 1/e, A098321 for gamma, A098322 for G, A098323 for 1/G.
Sequence in context: A116394 A127154 A062460 * A144791 A180305 A060925
Adjacent sequences: A098321 A098322 A098323 * A098325 A098326 A098327
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KEYWORD
| more,nonn,base
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AUTHOR
| Mark Hudson (mrmarkhudson(AT)hotmail.com), Sep 03 2004
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EXTENSIONS
| a(17)-a(24) from Nathaniel Johnston (nathaniel(AT)nathanieljohnston.com), Apr 30 2011
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