id:A117319 - OEIS Search Results

Search: id:A117319

Displaying 1-1 of 1 results found.

page 1

Values of n for which Leech's problem "Find two rational right-angled triangles on the same base whose heights are in the ratio n:1" has a solution.

+0
3

7, 10, 11, 12, 14, 17, 19, 22, 23, 27, 28, 29, 30, 33, 38, 39, 40, 41, 42, 44, 45, 47, 48, 51, 52, 53, 54, 57, 58, 59, 61, 67, 69, 74, 76, 79, 80, 81, 82, 83, 84, 85, 88, 92, 93, 96, 97, 100, 102, 103, 105, 107, 108, 109, 111, 112, 113, 115, 118, 119, 120, 121, 124, 126 (list; graph; listen)

	OFFSET	`1,1`
	LINKS	`Allan MacLeod, Solutions to Leech's problem.`
	EXAMPLE	`a(1)=7 because n=7 is the smallest factor n for which both b^2+h^2 and b^2+(nh)^2 are squares. The corresponding values of base b and height h are b=A117320(1)=12 and h=A117321(1)=5. 12^2+5^2=169=13^2 and 12^2+(75)^2=1369=37^2 are both squares.`
	CROSSREFS	`Cf. A117320 [corresponding bases], A117321 [corresponding heights].` `Sequence in context: A070405 A010730 A079004 this_sequence A120645 A060228 A094764` `Adjacent sequences: A117316 A117317 A117318 this_sequence A117320 A117321 A117322`
	KEYWORD	`nonn`
	AUTHOR	`Hugo Pfoertner (hugo(AT)pfoertner.org), Mar 07 2006`

page 1

Search completed in 0.002 seconds

Last modified November 18 20:14 EST 2008. Contains 147244 sequences.

AT&T Labs Research