id:A066733 - OEIS Search Results

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Numbers such that the nonzero product of the digits of its square is also a square.

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1, 2, 3, 7, 12, 17, 21, 38, 88, 106, 107, 108, 109, 117, 122, 128, 129, 141, 146, 164, 168, 171, 173, 178, 191, 196, 204, 206, 207, 208, 209, 212, 221, 222, 236, 263, 276, 278, 288, 306, 342, 359, 364, 367, 372, 377, 394, 432, 463, 478, 479, 518, 537, 538 (list; graph; listen)

	OFFSET	`1,2`
	EXAMPLE	`17 is in the sequence because the square of 17 is 289 and 289 = 144 = 12^2.`
	MATHEMATICA	`Do[a = Apply[Times, IntegerDigits[n^2]]; If[ a != 0 && IntegerQ[a^(1/2)], Print[n]], {n, 1, 10^4} ]`
	CROSSREFS	`Cf. A067071.` `Sequence in context: A080140 A019568 A128458 this_sequence A049623 A061577 A006488` `Adjacent sequences: A066730 A066731 A066732 this_sequence A066734 A066735 A066736`
	KEYWORD	`nonn`
	AUTHOR	`Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 15 2002`

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Last modified December 16 17:18 EST 2009. Contains 170825 sequences.

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