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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
OFFSET
1,1
COMMENTS
A008963(a(n)) = 6; A105516(a(n)) = A105516(a(n) - 1) + 1.
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
KEYWORD
nonn,base
AUTHOR
Reinhard Zumkeller, Apr 11 2005
STATUS
approved