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 A105512 Number of times 2 is the leading digit of the first n+1 Fibonacci numbers in decimal representation. 10
 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 16, 16 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,9 LINKS Winston de Greef, Table of n, a(n) for n = 0..10000 FORMULA a(n) = #{k: A008963(k) = 2 and 0<=k<=n}; a(A105502(n)) = a(A105502(n) - 1) + 1; n = A105511(n) + a(n) + A105513(n) + A105514(n) + A105515(n) + A105516(n) + A105517(n) + A105518(n) + A105519(n). a(n) ~ log_10(3/2) * n. - Amiram Eldar, Jan 12 2023 MATHEMATICA Accumulate[Table[If[IntegerDigits[Fibonacci[n]][[1]] == 2, 1, 0], {n, 0, 100}]] (* Amiram Eldar, Jan 12 2023 *) PROG (PARI) (leadingdigit(n, b=10) = n \ 10^logint(n, b)); (isok(n) = leadingdigit(fibonacci(n))==2); (lista(n)=my(a=vector(1+n), r=0); for (i=1, n, r+=isok(i); a[1+i]=r); a) \\ Winston de Greef, Mar 17 2023 CROSSREFS Cf. A000030, A000045, A008963, A105502. Cf. A105511, A105513, A105514, A105515, A105516, A105517, A105518, A105519. Sequence in context: A104355 A235402 A092278 * A301506 A002266 A075249 Adjacent sequences: A105509 A105510 A105511 * A105513 A105514 A105515 KEYWORD nonn,base AUTHOR Reinhard Zumkeller, Apr 11 2005 STATUS approved

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Last modified May 20 04:44 EDT 2024. Contains 372703 sequences. (Running on oeis4.)