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A316485 Squares whose arithmetic mean of digits is 5 (i.e., the sum of digits is 5 times the number of digits). 1
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 (list; graph; refs; listen; history; text; internal format)
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.

MAPLE

P:=proc(n, h) local a; a:=convert(n^2, base, 10);

if convert(a, `+`)/nops(a)=h then n^2; fi; end:

seq(P(i, 5), i=1..3593); # Paolo P. Lava, Jul 13 2018

CROSSREFS

Cf. A069711, A174438, A316480.

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

Sequence in context: A202548 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

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Last modified February 25 22:55 EST 2020. Contains 332270 sequences. (Running on oeis4.)