A048858 Number of prime factors of 1+(n!)^2 (with multiplicity).

1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 3, 2, 2, 2, 2, 2, 5, 3, 4, 3, 1, 3, 5, 7, 2, 2, 6, 4, 4, 5, 4, 3, 3, 3, 4, 4, 4, 2, 5, 5, 7, 2, 3, 8, 9, 3, 3, 4, 3, 2, 4, 2, 8, 6, 4, 3, 8, 2, 5, 4, 5, 1, 5, 5, 4, 5, 4

Offset

0,7

Links

Table of n, a(n) for n=0..70.

H. Ibstedt, A Few Smarandache Integer Sequences, Smarandache Notions Journal, Vol. 8, No. 1-2-3, 1997, pp. 171-183.

Formula

a(n) = A001222(A020549(n)). - Michel Marcus, Aug 09 2021

Mathematica

Table[Length[FactorInteger[1 + (n!)^2]], {n, 0, 20}] (* T. D. Noe, Oct 17 2011 *)

Prog

(PARI) a(n)=bigomega(n!^2+1) \\ Charles R Greathouse IV, Sep 20 2012

Crossrefs

Cf. A001222, A020549.

Sequence in context: A327490 A346529 A238408 * A246465 A172497 A211226

Adjacent sequences: A048855 A048856 A048857 * A048859 A048860 A048861

Keyword

nonn,more

Author

Charles T. Le (charlestle(AT)yahoo.com)

Extensions

Corrected by Arkadiusz Wesolowski, Oct 17 2011

Corrected by Charles R Greathouse IV, Sep 20 2012

a(38)-a(54) from Giovanni Resta, Jun 26 2018

a(55)-a(61) from Jinyuan Wang, Aug 09 2021

a(62)-a(70) from Sean A. Irvine, Sep 30 2021

Status

approved