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A062274
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Number of prime divisors (with repetition) of (n!)!, A000197.
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1
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0, 0, 1, 7, 45, 291, 2030, 15695, 135045, 1287243, 13495669, 154516663, 1919455487, 25721712601, 369942275033
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OFFSET
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0,4
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LINKS
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FORMULA
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MATHEMATICA
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Table[PrimeOmega[(n!)!], {n, 0, 10}] (* Harvey P. Dale, Apr 29 2015 *)
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PROG
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(PARI) for(n=0, 10, print1(bigomega(n!!), ", "))
(PARI) a(n) = { my(res = 0, nf = n!); forprime(p = 2, nf, res+=val(nf, p) ); res }
(Python)
from sympy import factorial, factorint
def A062274(n): return sum(sum(factorint(i).values()) for i in range(2, factorial(n)+1)) # Chai Wah Wu, Apr 10 2021
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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