A316486 Squares whose arithmetic mean of digits is 6 (i.e., the sum of digits is 6 times the number of digits).

576, 729, 149769, 173889, 178929, 199809, 278784, 288369, 294849, 389376, 439569, 459684, 467856, 471969, 509796, 589824, 599076, 617796, 660969, 665856, 675684, 685584, 695556, 746496, 751689, 767376, 777924, 788544, 793881, 799236, 853776, 859329, 870489

Offset

1,1

Comments

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

Links

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

Example

24^2 = 576, a 3-digit number whose digit sum is 5+7+6 = 18 = 6*3, so 576 is a term.
10386^2 = 107868996, a 9-digit number whose digit sum is 1+0+7+8+6+8+9+9+6 = 54 = 6*9, so 107868996 is a term.

Mathematica

Select[Range[1000]^2, Mean[IntegerDigits[#]]==6&] (* Harvey P. Dale, Aug 05 2021 *)

Crossrefs

Cf. A069711, A316480.

Intersection of A000290 and A061423. - Michel Marcus, Jul 06 2018

Sequence in context: A131982 A295017 A053969 * A250775 A109101 A258919

Adjacent sequences: A316483 A316484 A316485 * A316487 A316488 A316489

Keyword

nonn,base

Author

Jon E. Schoenfield, Jul 04 2018

Status

approved