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Search: id:A117680
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| A117680 |
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Squares for which the sum of the digits, the product of the digits, the digital root and the multiplicative digital root are all squares. |
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+0
1
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| 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
(list; graph; listen)
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OFFSET
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0,2
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EXAMPLE
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288369 is in the sequence because (1) its 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.
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CROSSREFS
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Sequence in context: A070254 A061090 A061272 this_sequence A042649 A042381 A033294
Adjacent sequences: A117677 A117678 A117679 this_sequence A117681 A117682 A117683
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KEYWORD
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nonn,base
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AUTHOR
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Luc Stevens (lms022(AT)yahoo.com), Apr 12 2006
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