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A099401 Square root of a(n) contains the n-th Fibonacci number as a string of digits to the immediate right of the decimal point (excluding leading zeros). 0
10, 10, 5, 11, 21, 8, 124, 52, 54, 43, 24, 970, 297, 457, 467, 1520, 2516, 7269, 12414, 3804, 11048, 25020, 135635, 56389, 710228, 44151, 21082, 762684, 696414, 1085414, 6472621, 2979828, 15220551, 72130, 9934617, 79533387 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..36.

EXAMPLE

a(1)= 10 because sqrt( 10)= 3.(1)622...

a(2)= 10 because sqrt( 10)= 3.(1)622...

a(3)= 5 because sqrt( 5)= 2.(2)360...

a(4)= 11 because sqrt( 11)= 3.(3)166...

a(5)= 21 because sqrt( 21)= 4.(5)825...

a(6)= 8 because sqrt( 8)= 2.(8)284...

a(7)= 124 because sqrt(124)=11.(13)55...

etc.

MATHEMATICA

Do[x = IntegerDigits[Fibonacci[n]]; i = 1; l = {}; While[l != x, d = RealDigits[N[Sqrt[i], 100]]; l = Take[Drop[First[d], Last[d]], Length[x]]; i++ ]; Print[i-1], {n, 1, 36}] (* Ryan Propper, Aug 11 2005 *)

CROSSREFS

Cf. A074841, A074762.

Sequence in context: A071531 A276467 A112120 * A263450 A087028 A145279

Adjacent sequences:  A099398 A099399 A099400 * A099402 A099403 A099404

KEYWORD

nonn,base

AUTHOR

Gil Broussard, Nov 17 2004

EXTENSIONS

Corrected and extended by Ryan Propper, Aug 11 2005

STATUS

approved

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Last modified May 25 11:50 EDT 2022. Contains 354071 sequences. (Running on oeis4.)