A105717
Smallest Fibonacci number that has 7 in the n-th position of the decimal representation.
Original entry on oeis.org
377, 377, 6765, 17711, 75025, 5702887, 267914296, 2971215073, 701408733, 7778742049, 27777890035288, 27777890035288, 17167680177565, 72723460248141, 51680708854858323072, 37889062373143906, 679891637638612258
Offset: 0
n=3: A105700(3)=22, a(3)=A000045(22)=17711->1[7]711;
n=4: A105700(4)=25, a(4)=A000045(25)=75025->[7]5025.
-
N:= 100: # for a(0)..a(N)
F[0]:= 0: F[1]:= 1:
W:= Array(0..N):
count:= 0:
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]=7 and W[t]=0, [$0..min(N,nops(L)-1)]);
count:= count + nops(M);
W[M]:= F[m]
od:
convert(W,list); # Robert Israel, Jun 01 2020
-
With[{fibs=Fibonacci[Range[150]]},Table[SelectFirst[fibs,NumberDigit[#,n-1]==7&],{n,20}]] (* Harvey P. Dale, Jul 22 2024 *)
A105712
Smallest m such that 2 is at the n-th position of the decimal representation of the m-th Fibonacci number.
Original entry on oeis.org
2, 21, 233, 2584, 28657, 9227465, 2178309, 24157817, 267914296, 2971215073, 20365011074, 225851433717, 2504730781961, 27777890035288, 19740274219868223167, 2111485077978050, 23416728348467685
Offset: 0
n=3: A105700(3)=18, a(3)=A000045(18)=2584->[2]584;
n=4: A105700(4)=23, a(4)=A000045(23)=28657->[2]8657.
A105713
Smallest m such that 3 is at the n-th position of the decimal representation of the m-th Fibonacci number.
Original entry on oeis.org
3, 34, 377, 1134903170, 832040, 317811, 3524578, 39088169, 20365011074, 53316291173, 32951280099, 365435296162, 7540113804746346429, 31940434634990099905, 308061521170129, 3416454622906707
Offset: 0
n=3: A105700(3)=45,
a(3)=A000045(45)=1134903170->113490[3]170;
n=4: A105700(4)=30, a(4)=A000045(30)=832040->8[3]2040.
A105714
Smallest m such that 4 is at the n-th position of the decimal representation of the m-th Fibonacci number.
Original entry on oeis.org
34, 144, 196418, 4181, 46368, 433494437, 14930352, 1304969544928657, 433494437, 4807526976, 1548008755920, 498454011879264, 4052739537881, 44945570212853, 498454011879264, 14472334024676221, 7540113804746346429
Offset: 0
n=3: A105700(3)=19, a(3)=A000045(19)=4181->[4]181;
n=4: A105700(4)=24, a(4)=A000045(24)=46368->[4]6368.
A105715
Smallest m such that 5 is at the n-th position of the decimal representation of the m-th Fibonacci number.
Original entry on oeis.org
5, 55, 1597, 75025, 24157817, 514229, 5702887, 32951280099, 12586269025, 225851433717, 53316291173, 591286729879, 61305790721611591, 135301852344706746049, 5527939700884757, 5527939700884757
Offset: 0
n=3: A105700(3)=25, a(3)=A000045(25)=75025->7[5]025;
n=4: A105700(4)=37, a(4)=A000045(37)=24157817->241[5]7817.
A105716
Smallest m such that 6 is at the n-th position of the decimal representation of the m-th Fibonacci number.
Original entry on oeis.org
10946, 6765, 610, 6765, 12586269025, 14472334024676221, 1836311903, 63245986, 17167680177565, 86267571272, 365435296162, 10610209857723, 6557470319842, 2880067194370816120, 259695496911122585, 6356306993006846248183
Offset: 0
n=3: A105700(3)=20, a(3)=A000045(20)=6765->[6]765;
n=4: A105700(4)=50,
a(4)=A000045(50)=12586269025->125862[6]9025.
A105718
Smallest Fibonacci number such that 8 is at the n-th position (from the right) of its decimal representation.
Original entry on oeis.org
8, 89, 317811, 28657, 39088169, 832040, 7778742049, 12586269025, 1836311903, 1548008755920, 86267571272, 99194853094755497, 308061521170129, 37889062373143906, 806515533049393, 8944394323791464, 2880067194370816120
Offset: 0
n=3: A105700(3)=23, a(3)=A000045(23)=28657->2[8]657;
n=4: A105700(4)=38, a(4)=A000045(38)=39088169->390[8]8169.
A105719
Smallest m such that 9 is at the n-th position of the decimal representation of the m-th Fibonacci number.
Original entry on oeis.org
89, 1597, 987, 12586269025, 196418, 14930352, 9227465, 27777890035288, 2971215073, 139583862445, 591286729879, 956722026041, 37889062373143906, 190392490709135, 8944394323791464, 99194853094755497, 99194853094755497
Offset: 0
n=3: A105700(3)=50,
a(3)=A000045(50)=12586269025->1258626[9]025;
n=4: A105700(4)=27, a(4)=A000045(27)=196418->1[9]6418.
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