A119672 Number of prime factors (with multiplicity) of n^4 + 3*n^2 + 1 (A057721).

0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 3, 3, 3, 1, 2, 3, 1, 2, 2, 1, 2, 2, 2, 2, 3, 2, 1, 3, 1, 1, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 1, 4, 2, 1, 2, 2, 2, 2, 1, 3, 2, 4, 2, 1, 3, 3, 2, 1, 2, 2, 2, 3, 1, 1, 3, 1, 2, 3, 4, 3, 1, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3

Offset: 0

Author

Jonathan Vos Post, Jun 11 2006

Keywords

• easy
• nonn
• changed

Crossrefs

Cf. A001222, A057721, A120062.

Programs

Mathematica

Table[PrimeOmega[n^4+3n^2+1],{n,0,100}]  (* Harvey P. Dale, Apr 25 2011 *)

Formula

a(n) = Bigomega(n^4 + 3*n^2 + 1) = A001222(A057721(n)).

Extensions

More terms from Harvey P. Dale, Apr 25 2011