Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #4 Oct 18 2011 16:50:59
%S 1,4,9,100,400,900,2304,2601,3600,10000,10201,10404,11025,12100,14400,
%T 22500,32400,40000,40401,44100,62001,90000,101124,103041,121104,
%U 123201,152100,199809,202500,230400,251001,260100,288369,294849,301401,360000
%N Squares for which the sum of the digits, the product of the digits, the digital root and the multiplicative digital root are all squares.
%e 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.
%K nonn,base
%O 0,2
%A Luc Stevens (lms022(AT)yahoo.com), Apr 12 2006