A198466 Consider triples a<=b

3, 4, 5, 6, 6, 7, 7, 8, 9, 9, 10, 10, 10, 11, 11, 12, 12, 12, 13, 13, 13, 14, 14, 15, 15, 15, 15, 15, 16, 16, 16, 17, 18, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 23, 23, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 26, 27, 27, 27, 27, 28, 28, 28, 28, 28

Offset: 1

Author

Charlie Marion, Dec 19 2011

Keywords

• nonn

Comments

The definition can be generalized to define Pythagorean k-triples a<=bA198453 for more about Pythagorean k-triples.

Examples

			3*2 + 3*2 = 4*3
4*3 + 6*5 = 7*6
5*4 + 10*9 = 11*10
6*5 + 7*6 = 9*8
6*5 + 15*14 = 16*15
		

References

• A. H. Beiler, Recreations in the Theory of Numbers, Dover, New York, 1964, pp. 104-134.

Links

• Ron Knott, Pythagorean Triples and Online Calculators

Crossrefs

Cf. A103606, A198453-A198469.