A085575 Squares whose sum of nonsquare digits is a square.

0, 1, 4, 9, 36, 49, 100, 144, 225, 361, 400, 441, 729, 900, 1225, 1369, 1444, 1936, 2025, 2209, 2704, 3600, 3969, 4225, 4900, 5776, 7225, 7396, 7921, 8836, 9409, 10000, 10404, 11449, 11881, 14400, 14884, 17424, 19044, 19881, 21025, 22500, 24025

Offset

1,3

Comments

If n is a member, then so is 100*n. - Robert Israel, Jul 06 2018

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Example

a(10)=361 because 361=19^2 and 3+6=9.

Maple

f:= proc(n) local L;
  L:= convert(subs(1=NULL, 4=NULL, 9=NULL, convert(n^2, base, 10)), `+`);
  if issqr(L) then n^2 fi
end proc:
map(f, [$0..200]); # Robert Israel, Jul 06 2018

Mathematica

sndQ[n_]:=Module[{s=Total[Select[IntegerDigits[n], !IntegerQ[Sqrt[#]]&]]}, IntegerQ[ Sqrt[s]]]; Select[Range[0, 200]^2, sndQ] (* Harvey P. Dale, Jun 01 2022 *)

Crossrefs

Sequence in context: A272221 A334110 A117676 * A082875 A267430 A117756

Adjacent sequences: A085572 A085573 A085574 * A085576 A085577 A085578

Keyword

base,easy,nonn

Author

Jason Earls, Jul 07 2003

Extensions

Offset changed by Robert Israel, Jul 06 2018

Status

approved