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A105507 Numbers m such that 7 is the leading digit of the n-th Fibonacci number in decimal representation. 9
25, 44, 49, 68, 92, 111, 116, 135, 159, 178, 183, 202, 226, 245, 250, 269, 293, 312, 317, 336, 360, 379, 384, 403, 427, 446, 470, 489, 494, 513, 537, 556, 561, 580, 604, 623, 628, 647, 671, 690, 695, 714, 738, 757, 762, 781, 805, 824, 829, 848, 872, 891, 915 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

A008963(a(n)) = 7; A105517(a(n)) = A105517(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(8) - log(7)) = 17.24377.... - Charles R Greathouse IV, Oct 07 2016

EXAMPLE

a(10)=178: A008963(178) = A000030(A000045(178)) =

A000030(7084593923980518516849609894969925639) = 7.

MATHEMATICA

Flatten[Position[Fibonacci[Range[1000]], _?(IntegerDigits[#][[1]]==7&)]] (* Harvey P. Dale, Nov 20 2015 *)

PROG

(PARI) is(n)=digits(fibonacci(n))[1]==7 \\ Charles R Greathouse IV, Oct 07 2016

CROSSREFS

Cf. A000030, A000045, A072709, A105501, A105502, A105503, A105504, A105505, A105506, A105508, A105509.

Sequence in context: A031331 A236838 A138091 * A015911 A188005 A054520

Adjacent sequences:  A105504 A105505 A105506 * A105508 A105509 A105510

KEYWORD

nonn,base

AUTHOR

Reinhard Zumkeller, Apr 11 2005

STATUS

approved

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Last modified May 10 05:10 EDT 2021. Contains 343748 sequences. (Running on oeis4.)