A380111 a(n) is the least number whose fourth power is an n-digit fourth power which has the maximum sum of digits (A373914(n)).

1, 3, 4, 8, 16, 26, 47, 74, 118, 308, 518, 659, 1768, 2868, 5396, 8256, 14482, 28871, 55368, 97063, 147768, 228558, 562341, 835718, 1727156, 2878406, 5458722, 8175708, 16234882, 27831542, 53129506, 98665756, 166025442, 315265896, 510466356, 904245732, 1188893858, 2298249374, 5106312756

Offset

1,2

Links

Zhining Yang, Table of n, a(n) for n = 1..49

Example

a(7) = 47 because among all 7-digit fourth powers, 47^4=487968 is the least one (another larger is 56^4=9834496) which has the maximum sum of digits, 43 = A373914(7).

Mathematica

Table[t=SortBy[Map[{#, Total@IntegerDigits[#^4]}&, Range[Ceiling[10^((n-1)/4)], Floor[(10^n-1)^(1/4)]]], Last];
Select[t, #[[2]]==t[[-1]][[2]]&][[1, 1]], {n, 24}]

Crossrefs

Cf. A370522, A373914, A379650, A379869.

Sequence in context: A165438 A293781 A202025 * A227615 A049894 A198633

Adjacent sequences: A380108 A380109 A380110 * A380112 A380113 A380114

Keyword

nonn,base

Author

Zhining Yang, Jan 12 2025

Status

approved