A105701 Smallest m such that 0 is at the n-th position of the decimal representation of the m-th Fibonacci number.

0, 32, 25, 21, 34, 38, 61, 40, 60, 51, 61, 62, 64, 71, 88, 84, 88, 108, 103, 103, 112, 107, 129, 118, 138, 129, 131, 138, 148, 152, 155, 164, 166, 170, 176, 174, 181, 185, 204, 196, 198, 206, 212, 217, 217, 258, 240, 242, 244, 241, 248, 252, 259, 277, 265, 273

Offset

0,2

Comments

a(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)=21, A000045(21) = a(3) = 10946 -> 1[0]946;
n=4: a(4)=34, A000045(34) = a(4) = 5702887 -> 57[0]2887.

Maple

N:= 100: # for a(0) to a(N)
F[0]:= 0: F[1]:= 1:
V:= Array(0..N):
count:= 1:
for m from 2 while count < N do
  F[m]:= F[m-1]+F[m-2];
  L:= convert(F[m], base, 10);
  M:= select(t -> L[t+1]=0 and V[t]=0, [$0..min(N, nops(L)-1)]);
  count:= count + nops(M);
  V[M]:= m;
od:
V[0]:= 0:
convert(V, list); # Robert Israel, Jun 03 2020

Crossrefs

Cf. A000045, A072354.

Cf. A105702, A105703, A105704, A105705, A105706, A105707, A105708, A105709.

Sequence in context: A070620 A070627 A028697 * A161885 A100729 A070728

Adjacent sequences: A105698 A105699 A105700 * A105702 A105703 A105704

Keyword

nonn,base

Author

Reinhard Zumkeller, Apr 18 2005

Extensions

a(1) corrected by Robert Israel, Jun 03 2020

Status

approved