A316485 Squares whose arithmetic mean of digits is 5 (i.e., the sum of digits is 5 times the number of digits).

64, 12769, 14884, 24649, 24964, 27556, 30976, 33856, 37249, 37636, 44944, 48841, 56644, 65536, 66049, 70756, 75076, 75625, 80089, 80656, 85264, 96721, 10778089, 10982596, 11464996, 11498881, 11648569, 11957764, 11992369, 12369289, 12559936, 12687844, 12909649

Offset: 1

Author

Jon E. Schoenfield, Jul 04 2018

Keywords

• nonn
• base

Comments

Each term's number of digits is in A174438 (Numbers that are congruent to {0, 2, 5, 8} mod 9). For every positive term k in A174438, this sequence contains at least one k-digit term. (See A316480.)

Examples

			8^2 = 64, a 2-digit number whose digit sum is 6+4 = 10 = 5*2, so 64 is a term.
3283^2 = 10778089, an 8-digit number whose digit sum is 1+0+7+7+8+0+8+9 = 40 = 5*8, so 10778089 is a term.
		

Links

• Jon E. Schoenfield, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A069711, A174438, A316480.

Intersection of A000290 and A061388. - Michel Marcus, Jul 06 2018

Programs

Mathematica

Select[Range[4000]^2,Mean[IntegerDigits[#]]==5&] (* Harvey P. Dale, Sep 10 2022 *)