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A216638 First appearance of the Fibonacci numbers in the decimals of Pi. 0
1, 1, 6, 9, 4, 11, 110, 93, 86, 130, 11, 1638, 229, 3056, 268, 1510, 10118, 11477, 727, 17711, 83295, 59861, 22334, 19659, 301848, 977089, 59943, 414086, 536681, 649382 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Fibonacci(4) is 3, 3 appears for the first time in decimals of Pi in position 9.

LINKS

Table of n, a(n) for n=1..30.

MATHEMATICA

p=RealDigits[N[Pi, 1000000]-3][[1]];

n[a_, b_]:=FromDigits[Part[p, a;; b]]

h=0; k=0; v={}; Do[Do[If[n[a, a]>0, Do[If[Fibonacci[x]n[a, b], h=a; k=b; Goto[sale]], {b, a, Min[a+Length[IntegerDigits[Fibonacci[x]]]-1, Length[p]]}]], {a, Length[p]}]; Label[sale]; If[h>0, AppendTo[v, h]; Print[{h, k, x, Fibonacci[x]}]], {x, 1, 30}]; v

CROSSREFS

Cf. A000796.

Sequence in context: A258504 A273816 A021063 * A110649 A037024 A309343

Adjacent sequences:  A216635 A216636 A216637 * A216639 A216640 A216641

KEYWORD

nonn,base

AUTHOR

Vicente Izquierdo Gomez, Sep 11 2012

STATUS

approved

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Last modified May 25 17:53 EDT 2020. Contains 334595 sequences. (Running on oeis4.)