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Long leg of the unique primitive Pythagorean triple whose inradius is A000108(n) and such that its long leg and its hypotenuse are consecutive natural numbers.
1

%I #3 Jul 17 2025 16:31:36

%S 4,4,12,60,420,3612,35112,368940,4092660,47287812,564244824,

%T 6911705164,86538400312,1103802305800,14305263976080,187980058537740,

%U 2500329726373140,33615543407577780,456277456430657400,6246438368992478580,86175353789650193640

%N Long leg of the unique primitive Pythagorean triple whose inradius is A000108(n) and such that its long leg and its hypotenuse are consecutive natural numbers.

%F a(n) = 2 * A000108(n) * (A000108(n) + 1).

%Y Cf. A000108, A383251.

%K nonn,easy

%O 0,1

%A _Miguel-Ángel Pérez García-Ortega_, Jul 17 2025