id:A108708 - OEIS Search Results

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Maximum side in Pythagorean triangles with hypotenuse of n.

+0
1

0, 0, 0, 0, 4, 0, 0, 0, 0, 8, 0, 0, 12, 0, 12, 0, 15, 0, 0, 16, 0, 0, 0, 0, 24, 24, 0, 0, 21, 24, 0, 0, 0, 30, 28, 0, 35, 0, 36, 32, 40, 0, 0, 0, 36, 0, 0, 0, 0, 48, 45, 48, 45, 0, 44, 0, 0, 42, 0, 48, 60, 0, 0, 0, 63, 0, 0, 60, 0, 56, 0, 0, 55, 70, 72, 0, 0, 72, 0, 64, 0, 80, 0, 0, 84, 0, 63, 0 (list; graph; listen)

	OFFSET	`1,5`
	MATHEMATICA	`f[n_] := Block[{k = n - 1, m = Sqrt[n/2]}, While[k > m && !IntegerQ[Sqrt[n^2 - k^2]], k-- ]; If[k <= m, 0, k]]; Table[ f[n], {n, 90}] (from Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 21 2005)`
	CROSSREFS	`A046080 gives the number of Pythagorean triangle with hypotenuse of n` `Cf. A083025.` `Sequence in context: A089371 A133886 A061859 this_sequence A005925 A070206 A136448` `Adjacent sequences: A108705 A108706 A108707 this_sequence A108709 A108710 A108711`
	KEYWORD	`nonn`
	AUTHOR	`Sebastien Dumortier (sdumortier(AT)ac-limoges.fr), Jun 20 2005`
	EXTENSIONS	`More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 21 2005`

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

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