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 A061869 Squares whose sum of digits as well as product of digits is a square (allowing zero). 2
 0, 1, 4, 9, 100, 144, 400, 441, 900, 2025, 2304, 2601, 3600, 8100, 9025, 10000, 10201, 10404, 10609, 10816, 11025, 12100, 14400, 14884, 16900, 19600, 21904, 22500, 30625, 30976, 32400, 40000, 40401, 40804, 41209, 44100, 44944, 48400, 48841 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Robert Israel, Table of n, a(n) for n = 1..10000 MAPLE filter:= proc(t) local L; L:= convert(t, base, 10); issqr(convert(L, `+`)) and issqr(convert(L, `*`)) end proc: select(filter, [seq(i^2, i=0..300)]); # Robert Israel, Feb 15 2023 MATHEMATICA spdQ[n_]:=Module[{idn=IntegerDigits[n]}, IntegerQ[Sqrt[Total[idn]]] && IntegerQ[ Sqrt[Times@@idn]]]; Select[Range[300]^2, spdQ] (* Harvey P. Dale, Jan 24 2013 *) CROSSREFS A061267 does not allow zero products. Subsequence of A061867. Sequence in context: A087553 A061850 A061459 * A061270 A070254 A061090 Adjacent sequences: A061866 A061867 A061868 * A061870 A061871 A061872 KEYWORD base,nonn AUTHOR Larry Reeves (larryr(AT)acm.org), May 11 2001 STATUS approved

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Last modified April 15 20:47 EDT 2024. Contains 371696 sequences. (Running on oeis4.)