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A061868 Numbers n such that n^2 has property that the sum of its digits and the product of its digits are squares (allowing zeros). 2
0, 1, 2, 3, 10, 12, 20, 21, 30, 45, 48, 51, 60, 90, 95, 100, 101, 102, 103, 104, 105, 110, 120, 122, 130, 140, 148, 150, 175, 176, 180, 200, 201, 202, 203, 210, 212, 220, 221, 230, 247, 248, 249, 257, 265, 266, 274, 283, 284, 300, 301, 302, 310, 318, 319, 321 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000

MATHEMATICA

spsQ[n_]:=Module[{idn2=IntegerDigits[n^2]}, IntegerQ[Sqrt[Total[idn2]]] && IntegerQ[ Sqrt[Times@@idn2]]]; Select[Range[0, 350], spsQ] (* Harvey P. Dale, Dec 12 2013 *)

CROSSREFS

A061268 does not allow zero product of digits.

Sequence in context: A006092 A015859 A022427 * A004679 A168060 A306076

Adjacent sequences:  A061865 A061866 A061867 * A061869 A061870 A061871

KEYWORD

base,easy,nonn

AUTHOR

Larry Reeves (larryr(AT)acm.org), May 11 2001

STATUS

approved

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Last modified January 18 15:16 EST 2021. Contains 340254 sequences. (Running on oeis4.)