A316482 Squares whose arithmetic mean of digits is 2 (i.e., the sum of digits is twice the number of digits).

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

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, with the exception of k=2. (See A316480.)

Examples

			145^2 = 21025, a 5-digit number whose digit sum is 2+1+0+2+5 = 10 = 2*5, so 21025 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 A061385. - Michel Marcus, Jul 06 2018