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A316486 Squares whose arithmetic mean of digits is 6 (i.e., the sum of digits is 6 times the number of digits). 1
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 (list; graph; refs; listen; history; text; internal format)
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.

MAPLE

P:=proc(n, h) local a; a:=convert(n^2, base, 10);

if convert(a, `+`)/nops(a)=h then n^2; fi;

end: seq(P(i, 6), i=1..933); # Paolo P. Lava, Jul 13 2018

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

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Last modified June 6 04:15 EDT 2020. Contains 334859 sequences. (Running on oeis4.)