A105708 Smallest m such that 8 is at the n-th position of the decimal representation of the m-th Fibonacci number.

6, 11, 28, 23, 38, 30, 49, 50, 46, 60, 54, 83, 71, 81, 73, 78, 90, 90, 99, 97, 126, 114, 113, 135, 121, 146, 136, 145, 140, 145, 154, 157, 170, 164, 178, 186, 180, 190, 188, 203, 200, 211, 207, 215, 221, 246, 235, 231, 242, 249, 247, 272, 255, 269, 267, 290, 274

Offset

0,1

Comments

A105718(n) = A000045(a(n)).

Links

Robert Israel, Table of n, a(n) for n = 0..5000

Eric Weisstein's World of Mathematics, Fibonacci Number

Example

n=3: a(3)=23, A000045(23)=A105718(3)=28657->2[8]657;
n=4: a(4)=38, A000045(38)=A105718(4)=39088169->390[8]8169.

Maple

N:= 100: # for a(0)..a(N)
V:= Array(0..N): count:= 0:
for m from 1 while count < N+1 do
  v:= combinat:-fibonacci(m);
  L:= convert(v, base, 10);
  S:= map(t -> t-1, select(t -> L[t]=8, [$1..nops(L)]));
  for s in S do if s <= N and V[s] = 0 then count:= count+1; V[s]:= m fi
od od:
convert(V, list); # Robert Israel, Apr 25 2021

Crossrefs

Cf. A105701, A072354, A105702, A105703, A105704, A105705, A105706, A105707, A105709.

Sequence in context: A136979 A007433 A061725 * A253908 A273504 A273608

Adjacent sequences: A105705 A105706 A105707 * A105709 A105710 A105711

Keyword

nonn,base

Author

Reinhard Zumkeller, Apr 18 2005

Status

approved