A105504 Numbers m such that 4 is the leading digit of the n-th Fibonacci number in decimal representation.

19, 24, 43, 48, 62, 67, 72, 86, 91, 110, 115, 129, 134, 153, 158, 177, 182, 196, 201, 220, 225, 244, 249, 263, 268, 287, 292, 311, 316, 330, 335, 354, 359, 373, 378, 383, 397, 402, 421, 426, 440, 445, 450, 464, 469, 488, 493, 507, 512, 517, 531, 536, 555, 560

Offset

1,1

Comments

A008963(a(n)) = 4; A105514(a(n)) = A105514(a(n) - 1) + 1.

Links

Table of n, a(n) for n=1..54.

Formula

a(n) ~ kn by the equidistribution theorem, where k = log(10)/(log(5) - log(4)) = 10.318851.... - Charles R Greathouse IV, Oct 07 2016

Example

a(10)=110: A008963(110) = A000030(A000045(110)) =
A000030(43566776258854844738105) = 4.

Prog

(PARI) is(n)=digits(fibonacci(n))[1]==4 \\ Charles R Greathouse IV, Oct 07 2016

Crossrefs

Cf. A000030, A000045, A072702, A105501, A105502, A105503, A105505, A105506, A105507, A105508, A105509.

Sequence in context: A076353 A297575 A093020 * A151900 A087951 A175356

Adjacent sequences: A105501 A105502 A105503 * A105505 A105506 A105507

Keyword

nonn,base

Author

Reinhard Zumkeller, Apr 11 2005

Status

approved