# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a062274 Showing 1-1 of 1 %I A062274 #33 Jul 29 2023 06:37:34 %S A062274 0,0,1,7,45,291,2030,15695,135045,1287243,13495669,154516663, %T A062274 1919455487,25721712601,369942275033 %N A062274 Number of prime divisors (with repetition) of (n!)!, A000197. %F A062274 a(n) = A001222(A000197(n)). - _Michel Marcus_, Oct 20 2019 %t A062274 Table[PrimeOmega[(n!)!],{n,0,10}] (* _Harvey P. Dale_, Apr 29 2015 *) %o A062274 (PARI) for(n=0, 10, print1(bigomega(n!!), ", ")) %o A062274 (PARI) a(n) = { my(res = 0, nf = n!); forprime(p = 2, nf, res+=val(nf, p) ); res } %o A062274 val(n, p) = my(r=0); while(n, r+=n\=p);r \\ _David A. Corneth_, Apr 10 2021 %o A062274 (Python) %o A062274 from sympy import factorial,factorint %o A062274 def A062274(n): return sum(sum(factorint(i).values()) for i in range(2,factorial(n)+1)) # _Chai Wah Wu_, Apr 10 2021 %Y A062274 Cf. A000197, A001222, A003604, A022559. %K A062274 nonn,more %O A062274 0,4 %A A062274 _Jason Earls_, Jul 04 2001 %E A062274 More terms from _David W. Wilson_, Jul 06 2001 %E A062274 a(11)-a(13) from _Jinyuan Wang_, Apr 01 2020 %E A062274 a(14) from _David A. Corneth_, Apr 10 2021 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE