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A117686 Squares for which the product of the digits are cubes. 0
0, 1, 81, 100, 400, 900, 1024, 1089, 1444, 1600, 2025, 2209, 2304, 2401, 2500, 2601, 2704, 2809, 3025, 3249, 3364, 3600, 4096, 4900, 5041, 6084, 6400, 7056, 8100, 8649, 9025, 9409, 9604, 9801, 10000, 10201, 10404, 10609, 10816, 11025, 11881, 12100 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..41.

EXAMPLE

81 is in the sequence because it is a square and the product of its digits 1*8=8 is a cube.

MATHEMATICA

Select[Range[0, 200]^2, IntegerQ[Surd[Times@@IntegerDigits[#], 3]]&] (* Harvey P. Dale, Feb 01 2019 *)

CROSSREFS

Cf. A000290, A000578.

Sequence in context: A179444 A068834 A067521 * A104113 A102766 A256349

Adjacent sequences:  A117683 A117684 A117685 * A117687 A117688 A117689

KEYWORD

nonn,base

AUTHOR

Luc Stevens (lms022(AT)yahoo.com), Apr 12 2006

STATUS

approved

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Last modified January 21 04:53 EST 2020. Contains 331104 sequences. (Running on oeis4.)