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

1,2

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.)

Links

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

Example

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

Crossrefs

Cf. A056991, A069711, A316480.

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

Sequence in context: A268036 A184384 A086212 * A253619 A235221 A060087

Adjacent sequences: A316478 A316479 A316480 * A316482 A316483 A316484

Keyword

nonn,base

Author

Jon E. Schoenfield, Jul 04 2018

Status

approved