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A088533
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Numbers n such that Bigomega(n!)/Omega(n!) is an integer.
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1
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2, 3, 4, 7, 15, 22, 24, 40, 49, 58, 71, 74, 92, 124, 179, 183, 232, 237, 413, 542, 547, 731, 752, 758, 983, 1266, 1283, 1289, 1336, 1706, 1712, 1725, 2656, 2909, 3509, 3612, 3653, 3674, 3702, 3709, 4617, 4646, 4697, 5993
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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FORMULA
| Let k = number of prime divisors of n! counted with multiplicity; b = number of distinct prime divisors of n!. Then n is in sequence if k/b is an integer.
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EXAMPLE
| S(4!) = bigomega(4!) / omega(4!) = 4/2 = 2 so 4 is 3rd term in the sequence.
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PROG
| (PARI) for(x=2, 10000, x1=x!; y=bigomega(x1)/omega(x1); if(y==floor(y), print1((x)", ")))
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CROSSREFS
| Sequence in context: A049795 A014251 A098010 * A091155 A027362 A068194
Adjacent sequences: A088530 A088531 A088532 * A088534 A088535 A088536
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KEYWORD
| nonn
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AUTHOR
| Cino Hilliard (hillcino368(AT)gmail.com), Nov 16 2003
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