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A182921 Sum of exponents in prime-power factorization of the swinging factorial (A056040) n$ = n!/floor(n/2)!^2; also bigomega(n$). 1
0, 0, 1, 2, 2, 3, 3, 4, 3, 5, 5, 6, 5, 6, 6, 8, 6, 7, 6, 7, 6, 8, 8, 9, 7, 9, 9, 12, 11, 12, 11, 12, 9, 11, 11, 13, 11, 12, 12, 14, 12, 13, 12, 13, 12, 15, 15, 16, 13, 15, 14, 16, 15, 16, 14, 16, 14, 16, 16, 17, 15, 16, 16, 19, 15 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,4
LINKS
EXAMPLE
16$ = 2.3.3.5.11.13. Thus a(16) = 6.
MAPLE
A056040 := n -> n! / iquo(n, 2)!^2;
A182921 := n -> numtheory[bigomega](A056040(n)): seq(A182921(i), i=0..70);
MATHEMATICA
a[n_] := PrimeOmega[n!/Quotient[n, 2]!^2];
Table[a[n], {n, 0, 64}] (* Jean-François Alcover, Jun 18 2019 *)
CROSSREFS
Sequence in context: A258756 A127431 A289777 * A291268 A242767 A027833
KEYWORD
nonn
AUTHOR
Peter Luschny, Mar 14 2011
STATUS
approved

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Last modified March 1 16:12 EST 2024. Contains 370442 sequences. (Running on oeis4.)