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

1,1

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.)

Links

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

Example

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.

Mathematica

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

Crossrefs

Cf. A069711, A174438, A316480.

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

Sequence in context: A364520 A209779 A220300 * A292025 A185562 A264127

Adjacent sequences: A316482 A316483 A316484 * A316486 A316487 A316488

Keyword

nonn,base

Author

Jon E. Schoenfield, Jul 04 2018

Status

approved