A377725 Length of the short leg of the unique primitive Pythagorean triple whose inradius is A002315(n) and such that its long leg and its hypotenuse are consecutive natural numbers.
3, 15, 83, 479, 2787, 16239, 94643, 551615, 3215043, 18738639, 109216787, 636562079, 3710155683, 21624372015, 126036076403, 734592086399, 4281516441987, 24954506565519, 145445522951123, 847718631141215, 4940866263896163, 28797478952235759, 167844007449518387
Offset: 1
Examples
Triangles begin: n=1: 3, 4, 5; n=2: 15, 112, 113; n=3: 83, 3444, 3445; n=4: 479, 114720, 114721; ... This sequence gives the first column.
Links
- Miguel-Ángel Pérez García-Ortega, Capitulo 5. Catetos, El Libro de las Ternas Pitagóricas.
Formula
a(n) = 2*A002315(n) + 1.