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A105502 Numbers m such that 2 is the leading digit of the n-th Fibonacci number in decimal representation. 9
3, 8, 13, 18, 23, 32, 37, 42, 47, 51, 56, 61, 66, 75, 80, 85, 90, 99, 104, 109, 114, 118, 123, 128, 133, 142, 147, 152, 157, 166, 171, 176, 185, 190, 195, 200, 209, 214, 219, 224, 233, 238, 243, 252, 257, 262, 267, 276, 281, 286, 291, 295, 300, 305, 310, 319 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

A008963(a(n)) = 2; A105512(a(n)) = A105512(a(n) - 1) + 1.

LINKS

Table of n, a(n) for n=1..56.

FORMULA

a(n) ~ kn by the equidistribution theorem, where k = log(10)/(log(3) - log(2)) = 5.67887.... - Charles R Greathouse IV, Oct 07 2016

EXAMPLE

a(10)=51: A008963(51) = A000030(A000045(51)) =

A000030(20365011074) = 2.

MATHEMATICA

Select[Range[400], First[IntegerDigits[Fibonacci[#]]]==2&] (* Harvey P. Dale, Jul 13 2015 *)

PROG

(PARI) is(n)=digits(fibonacci(n))[1]==2 \\ Charles R Greathouse IV, Oct 07 2016

CROSSREFS

Cf. A000030, A000045, A072682, A105501, A105503, A105504, A105505, A105506, A105507, A105508, A105509.

Sequence in context: A277600 A016885 A190517 * A105702 A184739 A081989

Adjacent sequences:  A105499 A105500 A105501 * A105503 A105504 A105505

KEYWORD

nonn,base

AUTHOR

Reinhard Zumkeller, Apr 11 2005

STATUS

approved

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Last modified May 18 21:55 EDT 2021. Contains 344003 sequences. (Running on oeis4.)