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A105506 Numbers m such that 6 is the leading digit of the n-th Fibonacci number in decimal representation. 9
15, 20, 39, 63, 82, 87, 106, 130, 149, 154, 173, 197, 216, 221, 240, 259, 264, 283, 288, 307, 326, 331, 350, 355, 374, 393, 398, 417, 422, 441, 460, 465, 484, 508, 527, 532, 551, 575, 594, 599, 618, 642, 661, 666, 685, 709, 728, 733, 752, 771, 776, 795, 800 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

A008963(a(n)) = 6; A105516(a(n)) = A105516(a(n) - 1) + 1.

LINKS

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

FORMULA

a(n) ~ kn by the equidistribution theorem, where k = log(10)/(log(7) - log(6)) = 14.9372.... - Charles R Greathouse IV, Oct 07 2016

EXAMPLE

a(10)=154: A008963(154) = A000030(A000045(154)) =

A000030(68330027629092351019822533679447) = 6.

PROG

(PARI) is(n)=digits(fibonacci(n))[1]==6 \\ Charles R Greathouse IV, Oct 07 2016

CROSSREFS

Cf. A000030, A000045, A072708, A105501, A105502, A105503, A105504, A105505, A105507, A105508, A105509.

Sequence in context: A294149 A065148 A093028 * A120625 A038352 A043125

Adjacent sequences:  A105503 A105504 A105505 * A105507 A105508 A105509

KEYWORD

nonn,base

AUTHOR

Reinhard Zumkeller, Apr 11 2005

STATUS

approved

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Last modified May 17 10:57 EDT 2021. Contains 343971 sequences. (Running on oeis4.)