id:A083752 - OEIS Search Results

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Minimal a(n)>n such that (4a(n)+3n)(4n+3a(n)) is a square.

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393, 786, 1179, 109, 1965, 2358, 2751, 218, 3537, 3930, 4323, 3278, 132, 5502, 5895, 436, 6681, 7074, 7467, 545, 8253, 8646, 9039, 157, 9825, 264, 10611, 763, 11397, 11790, 12183, 872, 481, 13362, 13755, 981, 184, 14934, 396, 1090, 16113, 16506 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`A problem of elementary geometry lead to the search for squares of the form (4a^2+3b^2)(4b^2+3a^2). I could not find any such squares except when a=b.`
	LINKS	`Zak Seidov, Two "triangles" in right triangle`
	FORMULA	`(4a(n)+3n)(4n+3a(n)) is a square.`
	EXAMPLE	`a(24)=157 because (4157+324)(3157+424)= 396900=630*630.`
	CROSSREFS	`Sequence in context: A045194 A105210 A158002 this_sequence A047825 A051986 A126078` `Adjacent sequences: A083749 A083750 A083751 this_sequence A083753 A083754 A083755`
	KEYWORD	`easy,nonn`
	AUTHOR	`Zak Seidov (zakseidov(AT)yahoo.com), Jun 17 2003`

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Last modified December 7 08:40 EST 2009. Contains 170430 sequences.

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