Powers n such that the sum of the digits in 7^n sets a record.
0, 1, 2, 5, 6, 8, 10, 11, 13, 14, 15, 18, 19, 21, 22, 26, 28, 34, 35, 43, 44, 46, 51, 53, 58, 62, 66, 67, 72, 73, 74, 77, 79, 86, 94, 102, 104, 106, 110, 114, 121, 122, 124, 127, 128, 132, 135, 139, 141, 148, 150, 159, 160, 168, 175, 181, 182, 185, 186, 192
1
The number 7^n is computed in base 10.
T. D. Noe, Plot of 1000 terms
T. D. Noe, Table of 1000 terms
(Mma) nn = 60; mx = -1; t = {}; n = 0; While[Length[t] < nn, s = Total[IntegerDigits[7^n]]; If[s > mx, mx = s; AppendTo[t, n]]; n++]; t
Cf. A066003 (sum of digits of 7^n), S000875-S000882.
nonn,base
T. D. Noe, May 11 2016