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A098326
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Recurrence derived from the decimal places of sqrt(2). a(0)=0, a(i+1)=position of first occurrence of a(i) in decimal places of sqrt(2).
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5
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0, 13, 5, 7, 11, 186, 239, 336, 1284, 5889, 11708, 70286, 19276, 35435, 22479, 42202, 28785, 107081, 973876, 1187108
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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EXAMPLE
| sqrt(2)=1.4142135623730950488...
So for example a(2)=13 because 13th decimal place of sqrt(2) is 0; then
a(3)=5 because 13 is found starting at the 5th decimal place; a(4)=7 because 5 is at the 7th decimal place and so on.
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MAPLE
| with(StringTools): Digits:=10000: G:=convert(evalf(sqrt(2)), string): a[0]:=0: for n from 1 to 10 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, A098324 for Golden Ratio (phi), A098325 for sqrt(Pi), A120482 for sqrt(3), A189893 for sqrt(5). A002193 for digits of sqrt(2).
Sequence in context: A010218 A107833 A097484 * A068662 A166207 A121230
Adjacent sequences: A098323 A098324 A098325 * A098327 A098328 A098329
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KEYWORD
| more,nonn,base
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AUTHOR
| Mark Hudson (mrmarkhudson(AT)hotmail.com), Sep 13 2004
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EXTENSIONS
| a(18)-a(19) from Nathaniel Johnston (nathaniel(AT)nathanieljohnston.com), Apr 30 2011
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