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A113905
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omega(n!) raised to the power of bigomega(n!).
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0
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1, 1, 1, 4, 16, 243, 2187, 65536, 4194304, 67108864, 1073741824, 152587890625, 19073486328125, 3656158440062976, 131621703842267136, 4738381338321616896, 6140942214464815497216, 3219905755813179726837607
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| Sum of reciprocals converge to 3.317087986755007857557474300.. I found getting the 3 starting 1's interesting. 6 sequences begin with 1,1,1,4,16 and none begin with omegafactpowbigomegafact(n) = 1,1,1,4,16,243.
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FORMULA
| omega(x): number of distinct prime divisors of x. bigomega(x): number of prime divisors of x, counted with multiplicity.
a(n) = A000720(n)^A022559(n). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 01 2006
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PROG
| (PARI) omegafactpowbigomegafact(n) = { local(x, a, b, s); s=0; for(x=0, n, a=omega(x!); b=bigomega(x!); s+=1./a^b; print1(a^b", "); ); print(); print(s) }
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CROSSREFS
| Sequence in context: A012921 A000513 A088027 * A200045 A099202 A139288
Adjacent sequences: A113902 A113903 A113904 * A113906 A113907 A113908
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KEYWORD
| easy,nonn
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AUTHOR
| Cino Hilliard (hillcino368(AT)gmail.com), Jan 29 2006
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