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%I #17 Feb 28 2024 10:48:00
%S 21025,23104,32041,36100,63001,10125124,10176100,10233601,10530025,
%T 10824100,11122225,11303044,11424400,12040900,12103441,12222016,
%U 12602500,13315201,13322500,14055001,14600041,16008001,16080100,16810000,20205025,20214016,20611600
%N Squares whose arithmetic mean of digits is 2 (i.e., the sum of digits is twice the number of digits).
%C 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, with the exception of k=2. (See A316480.)
%H Jon E. Schoenfield, <a href="/A316482/b316482.txt">Table of n, a(n) for n = 1..10000</a>
%e 145^2 = 21025, a 5-digit number whose digit sum is 2+1+0+2+5 = 10 = 2*5, so 21025 is a term.
%Y Cf. A069711, A174438, A316480.
%Y Intersection of A000290 and A061385. - _Michel Marcus_, Jul 06 2018
%K nonn,base
%O 1,1
%A _Jon E. Schoenfield_, Jul 04 2018
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