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

0,5

Links

Table of n, a(n) for n=0..85.

Formula

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

Mathematica

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

Crossrefs

Cf. A001222, A057721, A120062.

Sequence in context: A020903 A133083 A083921 * A271608 A087740 A029439

Adjacent sequences: A119669 A119670 A119671 * A119673 A119674 A119675

Keyword

easy,nonn

Author

Jonathan Vos Post, Jun 11 2006

Extensions

More terms from Harvey P. Dale, Apr 25 2011.

Status

approved