A117686 Squares for which the product of the digits are cubes.

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

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