A117680 Squares for which the sum of the digits, the product of the digits, the digital root and the multiplicative digital root are all squares.

1, 4, 9, 100, 400, 900, 2304, 2601, 3600, 10000, 10201, 10404, 11025, 12100, 14400, 22500, 32400, 40000, 40401, 44100, 62001, 90000, 101124, 103041, 121104, 123201, 152100, 199809, 202500, 230400, 251001, 260100, 288369, 294849, 301401, 360000

Offset

0,2

Links

Table of n, a(n) for n=0..35.

Example

288369 is in the sequence because (1) it's a square, (2) the sum of the digits 2+8+8+3+6+9=36 is a square, (3) the product of the digits 2*8*8*3*6*9=20736 is a square, (4) the digital root 9 is a square and (5) the multiplicative digital root 0 is also a square.

Crossrefs

Sequence in context: A070254 A061090 A061272 * A042649 A324024 A042381

Adjacent sequences: A117677 A117678 A117679 * A117681 A117682 A117683

Keyword

nonn,base

Author

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

Status

approved