A379869 a(n) is the least number whose cube is an n-digit cube which has the maximum sum of digits (A373727(n)).

2, 4, 9, 19, 31, 92, 157, 423, 927, 1966, 4289, 8782, 12599, 30355, 99829, 215083, 341075, 989353, 2131842, 4081435, 8334082, 20632999, 43967926, 88316866, 190349299, 364929616, 735501679, 1948602829, 3036548692, 9654499999, 17087193298, 31037622999, 99594689449, 181610950229, 426932901019, 956829383603

Offset: 1

Author

Zhining Yang, Jan 11 2025

Keywords

• nonn
• base

Examples

			For n=7, the maximum sum of digits for a 7-digit cube is A373727(7) = 46 and this is attained by 3 cubes, the smallest of which is 157^3 = 3869893 so that a(7) = 157.
		

Crossrefs

Cf. A373727, A380052.

Other powers: A380111, A379650, A380567.

Programs

C

/* See A373727. */

Mathematica

Table[t =SortBy[Map[{#, Total@IntegerDigits[#^3]} &,
    Range[Ceiling@CubeRoot[10^(n - 1)], CubeRoot[10^n - 1]]], Last];
 Select[t, #[[2]] == t[[-1]][[2]] &][[1, 1]], {n, 18}]

Extensions

a(26) and a(35) corrected by Kevin Ryde, Apr 03 2025