A316481 Squares whose arithmetic mean of digits is 1 (i.e., the sum of digits equals the number of digits).

1, 1100401, 2220100, 100040004, 100100025, 100220121, 100400400, 101002500, 102030201, 102212100, 103002201, 104040000, 110250000, 121022001, 121220100, 123210000, 132020100, 144000000, 210221001, 225000000, 310112100, 324000000, 400040001, 400400100

Offset: 1

Author

Jon E. Schoenfield, Jul 04 2018

Keywords

• nonn
• base

Comments

Each term's number of digits is in A056991 (Numbers with digital root 1, 4, 7, or 9). For every term k in A056991, this sequence contains at least one k-digit term, with the exception of k=4. (See A316480.)

Examples

			1049^2 = 1100401, a 7-digit number whose digit sum is 1+1+0+0+4+0+1 = 7, so 1100401 is a term.
		

Links

• Giovanni Resta, Table of n, a(n) for n = 1..10000 (first 1543 terms from Jon E. Schoenfield)

Crossrefs

Cf. A056991, A069711, A316480.

Intersection of A000290 and A061384. - Michel Marcus, Jul 06 2018