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

Author

Reinhard Zumkeller, Apr 18 2005

Keywords

• nonn
• base

Comments

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

Examples

			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.
		

Links

• Robert Israel, Table of n, a(n) for n = 0..5000
• Eric Weisstein's World of Mathematics, Fibonacci Number

Crossrefs

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

Programs

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