A117687 Squares for which both the sum of the digits and the product of the digits are cubes.

0, 1, 100, 8649, 10000, 59049, 88209, 91809, 104976, 106929, 110889, 207936, 257049, 318096, 321489, 349281, 356409, 363609, 370881, 381924, 400689, 404496, 419904, 480249, 488601, 492804, 497025, 514089, 527076, 549081, 558009, 567009

Offset

0,3

Links

Table of n, a(n) for n=0..31.

Example

321489 is in the sequence because it is a square and (1)the sum of its digits 3+2+1+4+8+9=27 is a cube and (2)the product of its digits 3*2*1*4*8*9=1728 is also a cube.

Crossrefs

Cf. A000290, A000578.

Sequence in context: A210814 A065689 A260859 * A262806 A108741 A192937

Adjacent sequences: A117684 A117685 A117686 * A117688 A117689 A117690

Keyword

nonn,base

Author

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

Status

approved