A053059 Squares whose product of digits is also a nonzero square.

1, 4, 9, 49, 144, 289, 441, 1444, 7744, 11236, 11449, 11664, 11881, 13689, 14884, 16384, 16641, 19881, 21316, 26896, 28224, 29241, 29929, 31684, 36481, 38416, 41616, 42436, 42849, 43264, 43681, 44944, 48841, 49284, 55696, 69169, 76176

Offset

1,2

References

Felice Russo, A set of new Smarandache functions, sequences and conjectures in number theory, American Research Press 2000

Links

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

Mathematica

nzsQ[n_]:=Module[{pd=Times@@IntegerDigits[n]}, pd!=0&&IntegerQ[Sqrt[pd]]]; Select[Range[2000]^2, nzsQ] (* Harvey P. Dale, Nov 13 2012 *)

Crossrefs

A061867 allows zeros. Cf. A000290.

Sequence in context: A268099 A061867 A019544 * A006716 A068809 A231177

Adjacent sequences: A053056 A053057 A053058 * A053060 A053061 A053062

Keyword

easy,base,nonn

Author

Felice Russo, Feb 25 2000

Extensions

More terms from James A. Sellers, Feb 28 2000

Status

approved