A380052 a(n) is the largest number whose cube is an n-digit cube which has the maximum sum of digits (A373727(n)).

2, 4, 9, 19, 46, 92, 208, 453, 942, 1966, 4289, 9949, 12599, 43795, 99829, 215083, 446423, 989353, 2131842, 4081435, 9850783, 20714797, 43967926, 92827483, 190349299, 464110759, 989554129, 2132590453, 4559677342, 9654499999, 21253161559, 31037622999, 99594689449, 181610950229

Offset

1,1

Links

Table of n, a(n) for n=1..34.

Example

For n=7, among cubes which are 7 digits long the maximum sum of digits is A373727(7) = 46 and this is attained by 3 cubes, the largest of which is 208^3 = 8998912 so that a(7) = 208.

Mathematica

Table[SortBy[Map[{#, Total@IntegerDigits[#^3]} &,
     Range[Ceiling@CubeRoot[10^(n - 1)], CubeRoot[10^n - 1]]],
    Last][[-1]][[1]], {n, 18}]

Prog

(C) /* See A373727. */

Crossrefs

Cf. A373727, A379869.

Other powers: A379298, A380797, A380566, A380193.

Sequence in context: A036614 A036718 A372102 * A134964 A318798 A318851

Adjacent sequences: A380049 A380050 A380051 * A380053 A380054 A380055

Keyword

nonn,base

Author

Zhining Yang, Jan 11 2025

Status

approved