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Search: id:A118055
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| A118055 |
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Numerator of Sum[i=1..n] 1/(s(i)^s(i)) where s(i) = i-th semiprime. |
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+0
2
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| 1, 733, 389546509, 15216660895232989, 165124648173861912289213141201, 516014525543318775927975356319557, 11473924061057077116469420939475877122177
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Semiprime analogue of A117579. Fractions are: 1/256, 733/186624, 389546509/99179645184, 15216660895232989/3874204890000000000, 165124648173861912289213141201/42041202325478752505760000000000, 516014525543318775927975356319557/131378757267121101580500000000000000, 11473924061057077116469420939475877122177 / 2921293509192991260690562210500000000000000, 239106294995420151295311285049507497083520504633431021289373163777 / 6087713879404511830817263262876196035025072.
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FORMULA
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a(n) = Numerator of Sum[i=1..n] 1/(semiprime(i)^semiprime(i)). a(n) = Numerator of Sum[i=1..n] 1/(A001358(i)^A001358(i)). a(n) = Numerator of Sum[i=1..n] 1/A114850(n).
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EXAMPLE
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a(2) = 733 because (1/semiprime(1)^semiprime(1)) + (1/semiprime(2)^semiprime(2))
= (1/256) + (1/46656) = 733/186624.
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CROSSREFS
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Denominators = A118055. Cf. A001358, A051674, A114850, A117579.
Sequence in context: A098291 A044988 A033529 this_sequence A025356 A025348 A126556
Adjacent sequences: A118052 A118053 A118054 this_sequence A118056 A118057 A118058
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KEYWORD
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easy,frac,nonn
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AUTHOR
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Jonathan Vos Post (jvospost2(AT)yahoo.com), Apr 11 2006
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