A385187 Area of the unique primitive Pythagorean triple (a,b,c) such that (a-b+c)/2 = A002378(n) and its long leg and hypotenuse are consecutive natural numbers.
1, 6, 330, 3036, 14820, 51330, 142926, 341880, 731016, 1433790, 2625810, 4547796, 7519980, 11957946, 18389910, 27475440, 40025616, 57024630, 79652826, 109311180, 147647220, 196582386, 258340830, 335479656, 430920600, 547983150, 690419106, 862448580, 1068797436, 1314736170, 1606120230
Offset: 1
Examples
For n=2, the short leg is A385022(2,1) = 11 and the long leg is A385022(2,2) = 60 so the area is then a(2) = (11 * 60)/2 = 330.
Links
- José-Miguel Blanco Casado and Miguel-Ángel Pérez García-Ortega, El Libro de las Ternas Pitagóricas
Programs
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Mathematica
a=Table[n(n+1),{n,1,30}];Apply[Join,Map[{#(#-1)(2#-1)}&,a]]
Comments