142926

Appears in sequences

• a(n) = p*(p + 1)*(2*p + 1) where p is the n-th prime.at n=12A098996
• 324n^2 + 2n.at n=20A158271
• Integer areas of integer-sided triangles where at least one of the three altitudes is of prime length.at n=38A256579
• Area of the unique primitive Pythagorean triple whose inradius is A002315(n) and such that its long leg and its hypotenuse are consecutive natural numbers.at n=2A378386
• Area of the unique primitive Pythagorean triple (a,b,c) such that (a-b+c)/2 = A000108(n) and its long leg and hypotenuse are consecutive natural numbers.at n=5A381846
• 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.at n=6A385187