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A105519 Number of times 9 is the leading digit of the first n+1 Fibonacci numbers in decimal representation. 10
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,36

COMMENTS

a(n) = #{k: A008963(k) = 9 and 0<=k<=n};

a(A105509(n)) = a(A105509(n) - 1) + 1;

n = A105511(n) + A105512(n) + A105513(n) + A105514(n) + A105515(n) + A105516(n) + A105517(n) + A105518(n) + a(n).

LINKS

Table of n, a(n) for n=0..104.

MATHEMATICA

Table[If[First[IntegerDigits[Fibonacci[n]]]==9, 1, 0], {n, 0, 110}]// Accumulate (* Harvey P. Dale, Nov 27 2018 *)

CROSSREFS

Cf. A000030, A000045.

Sequence in context: A111972 A073458 A194698 * A111891 A296076 A086858

Adjacent sequences:  A105516 A105517 A105518 * A105520 A105521 A105522

KEYWORD

nonn,base

AUTHOR

Reinhard Zumkeller, Apr 11 2005

STATUS

approved

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Last modified January 19 18:53 EST 2021. Contains 340270 sequences. (Running on oeis4.)