Longest run of the digit S000179(n) in the decimal form of 7^n.
1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 3, 2, 3, 2, 2, 2, 3, 4, 4, 3, 2, 2, 2, 3, 3
1
For the first number n producing a given run of digits, see A215730. Sequence A215736 lists the digit that is repeated.
T. D. Noe, Plot of 1001 terms
T. D. Noe, Table of 1001 terms
(Mma) t = Table[s = Sort[Split[IntegerDigits[7^n]]]; len = Length[s[[-1]]]; u = Flatten[Select[s, Length[#] == len &, 1]]; {u[[1]], Length[u]}, {n, 0, 100}]; Transpose[t][[2]]
Cf. S000177-S000179, A215730, A215736.
nonn,base
T. D. Noe, Aug 06 2014