Powers n such that the sum of the digits in 8^n sets a record.
0, 1, 2, 4, 5, 8, 11, 12, 13, 16, 17, 18, 21, 22, 25, 32, 36, 39, 40, 43, 46, 47, 50, 55, 61, 62, 69, 71, 74, 79, 80, 85, 89, 94, 100, 103, 109, 111, 114, 120, 132, 133, 137, 139, 141, 142, 145, 153, 157, 158, 159, 171, 172, 178, 185, 190, 191, 198, 214, 225
1
The number 8^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[8^n]]; If[s > mx, mx = s; AppendTo[t, n]]; n++]; t
Cf. A066004 (sum of digits of 8^n), S000875-S000882.
nonn,base
T. D. Noe, May 11 2016