A105506 Numbers m such that 6 is the leading digit of the n-th Fibonacci number in decimal representation.

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.

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