login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A105508 Numbers m such that 8 is the leading digit of the m-th Fibonacci number in decimal representation. 9
6, 11, 30, 54, 73, 78, 97, 121, 140, 145, 164, 188, 207, 231, 255, 274, 298, 322, 341, 365, 389, 408, 432, 451, 456, 475, 499, 518, 523, 542, 566, 585, 590, 609, 633, 652, 676, 700, 719, 743, 767, 786, 810, 834, 853, 877, 896, 901, 920, 944, 963, 968, 987 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..53.

FORMULA

A008963(a(n)) = A000030(A000045(a(n))) = 8.

A105518(a(n)) = A105518(a(n) - 1) + 1.

A000045(a(n)) = A045732(n).

a(n) ~ kn by the equidistribution theorem, where k = log(10)/(log(9) - log(8)) = 19.549378.... - Charles R Greathouse IV, Oct 07 2016

EXAMPLE

a(1)=6 since the 6th Fibonacci: 8 begins with 8.

a(2)=11 since the 11th Fibonacci: 89 begins with 8.

MATHEMATICA

Flatten[Position[Fibonacci[Range[1000]], _?(First[IntegerDigits[#]]==8&)]] (* Harvey P. Dale, Jan 04 2015  *)

PROG

(PARI) isok(n) = digits(fibonacci(n))[1] == 8; \\ Michel Marcus, Jan 10 2014

CROSSREFS

Cf. A000030, A000045, A072710, A105501, A105502, A105503, A105504, A105505, A105506, A105507, A105509.

Sequence in context: A034489 A231410 A285917 * A114960 A320482 A151790

Adjacent sequences:  A105505 A105506 A105507 * A105509 A105510 A105511

KEYWORD

nonn,base

AUTHOR

Reinhard Zumkeller, Apr 11 2005

EXTENSIONS

Example and formulas edited by Michel Marcus, Jan 10 2014

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 7 19:48 EDT 2021. Contains 343652 sequences. (Running on oeis4.)