A316488 Squares whose arithmetic mean of digits is 8 (i.e., the sum of digits is 8 times the number of digits).

97969, 88998998929, 97888999968769, 38999699989995889, 79949788888999969, 98987998979757889, 99497897999899876, 498999778899898896, 597998978979699969, 799778987996998689, 896899597989995889, 899984989899599769, 979978999994798769, 989999999787828969

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, it appears that this sequence contains at least one k-digit term with the exception of k=2, k=8, and k=9. (See A316480.)

Links

Giovanni Resta, Table of n, a(n) for n = 1..97 (terms < 10^28; first 15 terms from Jon E. Schoenfield)

Example

313^2 = 97969, a 5-digit number whose digit sum is 9+7+9+6+9 = 40 = 8*5, so 97969 is a term.
9949823114^2 = 98998979999888656996, a 20-digit number whose digit sum is 9+8+9+9+8+9+7+9+9+9+9+8+8+8+6+5+6+9+9+6 = 160 = 8*20, so 98998979999888656996 is a term.

Crossrefs

Cf. A069711, A174438, A316480.

Intersection of A000290 and A061425. - Michel Marcus, Jul 06 2018

Sequence in context: A109185 A253823 A371950 * A235196 A002273 A268819

Adjacent sequences: A316485 A316486 A316487 * A316489 A316490 A316491

Keyword

nonn,base

Author

Jon E. Schoenfield, Jul 04 2018

Status

approved