A316483 Squares whose arithmetic mean of digits is 3 (i.e., the sum of digits is 3 times the number of digits).

144, 225, 324, 441, 900, 108900, 114921, 119025, 125316, 129600, 136161, 140625, 145161, 159201, 161604, 164025, 176400, 184041, 205209, 210681, 213444, 216225, 219024, 221841, 239121, 242064, 245025, 248004, 254016, 291600, 304704, 308025, 311364, 314721

Offset: 1

Author

Jon E. Schoenfield, Jul 04 2018

Keywords

• nonn
• base

Comments

Each term's number of digits is divisible by 3. (See A316480.)

Examples

			12^2 = 144, a 3-digit number whose digit sum is 1+4+4 = 9 = 3*3, so 144 is a term.
360^2 = 129600, a 6-digit number whose digit sum is 1+2+9+6+0+0 = 18 = 3*6, so 129600 is a term.
		

Links

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

Crossrefs

Cf. A069711, A316480.

Intersection of A000290 and A061386. - Michel Marcus, Jul 06 2018