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A053059 Squares whose product of digits is also a nonzero square. 8
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified March 19 17:21 EDT 2019. Contains 321330 sequences. (Running on oeis4.)