A373994 a(n) is the largest digit sum of all n-digit sixth powers.

1, 10, 18, 19, 27, 28, 45, 37, 46, 64, 64, 81, 82, 82, 91, 100, 100, 118, 117, 126, 136, 136, 154, 154, 163, 163, 172, 181, 181, 190, 199, 208, 217, 226, 235, 235, 243, 244, 261, 262, 280, 280, 280, 289, 298, 298, 307, 325, 325, 325, 334, 352, 352, 361, 370

Offset

1,2

Links

Table of n, a(n) for n=1..55.

Example

a(6) = 28 because 28 is the largest digital sum encountered among all 6-digit sixth powers (117649, 262144, 531441).

Mathematica

Table[Max@Map[Total@IntegerDigits[#^6] &, Range[Ceiling[10^((n - 1)/6)], Floor[(10^n-1)^(1/6)]]], {n, 42}]

Crossrefs

Cf. A001014, A348300, A373727, A373914, A374025.

Sequence in context: A368477 A084487 A055567 * A087119 A043688 A004752

Adjacent sequences: A373991 A373992 A373993 * A373995 A373996 A373997

Keyword

nonn,base

Author

Zhining Yang, Jun 26 2024

Status

approved