login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A316482
Squares whose arithmetic mean of digits is 2 (i.e., the sum of digits is twice the number of digits).
1
21025, 23104, 32041, 36100, 63001, 10125124, 10176100, 10233601, 10530025, 10824100, 11122225, 11303044, 11424400, 12040900, 12103441, 12222016, 12602500, 13315201, 13322500, 14055001, 14600041, 16008001, 16080100, 16810000, 20205025, 20214016, 20611600
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, with the exception of k=2. (See A316480.)
LINKS
EXAMPLE
145^2 = 21025, a 5-digit number whose digit sum is 2+1+0+2+5 = 10 = 2*5, so 21025 is a term.
CROSSREFS
Intersection of A000290 and A061385. - Michel Marcus, Jul 06 2018
Sequence in context: A157083 A183639 A181260 * A340897 A371354 A228299
KEYWORD
nonn,base
AUTHOR
Jon E. Schoenfield, Jul 04 2018
STATUS
approved