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A113902 Product of omega(n!) and bigomega(n!). 0
0, 1, 4, 8, 15, 21, 32, 44, 52, 60, 80, 95, 120, 132, 144, 168, 203, 224, 264, 288, 304, 320, 369, 405, 423, 441, 468, 495, 560, 590, 660, 715, 737, 759, 781, 825, 912, 936, 960, 1008, 1105, 1144, 1246, 1288, 1330, 1358, 1470, 1545, 1575, 1620, 1650, 1695 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

omega(x!) is the number of primes <= x.

LINKS

Table of n, a(n) for n=1..52.

FORMULA

omega(x): number of distinct prime divisors of x. bigomega(x): number of prime divisors of x, counted with multiplicity.

MATHEMATICA

PrimeNu[#]PrimeOmega[#]&/@(Range[60]!) (* Harvey P. Dale, Aug 14 2013 *)

PROG

(PARI) omegafactxbigomegafact(n) = { local(x); for(x=1, n, print1(omega(x!)*bigomega(x!)", ") ) }

CROSSREFS

Sequence in context: A312753 A071422 A212538 * A024916 A212539 A102216

Adjacent sequences:  A113899 A113900 A113901 * A113903 A113904 A113905

KEYWORD

easy,nonn

AUTHOR

Cino Hilliard, Jan 29 2006

STATUS

approved

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Last modified August 18 14:05 EDT 2019. Contains 326100 sequences. (Running on oeis4.)