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A316483 Squares whose arithmetic mean of digits is 3 (i.e., the sum of digits is 3 times the number of digits). 1
144, 225, 324, 441, 900, 108900, 114921, 119025, 125316, 129600, 136161, 140625, 145161, 159201, 161604, 164025, 176400, 184041, 205209, 210681, 213444, 216225, 219024, 221841, 239121, 242064, 245025, 248004, 254016, 291600, 304704, 308025, 311364, 314721 (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

12^2 = 144, a 3-digit number whose digit sum is 1+4+4 = 9 = 3*3, so 144 is a term.

360^2 = 129600, a 6-digit number whose digit sum is 1+2+9+6+0+0 = 18 = 3*6, so 129600 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, 3), i=1..561); # Paolo P. Lava, Jul 13 2018

CROSSREFS

Cf. A069711, A316480.

Intersection of A000290 and A061386. - Michel Marcus, Jul 06 2018

Sequence in context: A276564 A061040 A159456 * A064563 A008436 A250773

Adjacent sequences:  A316480 A316481 A316482 * A316484 A316485 A316486

KEYWORD

nonn,base

AUTHOR

Jon E. Schoenfield, Jul 04 2018

STATUS

approved

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Last modified February 26 12:33 EST 2020. Contains 332279 sequences. (Running on oeis4.)