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A105504
Numbers m such that 4 is the leading digit of the n-th Fibonacci number in decimal representation.
9
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.
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
KEYWORD
nonn,base
AUTHOR
Reinhard Zumkeller, Apr 11 2005
STATUS
approved