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Search: id:A118056
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| A118056 |
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Denominator of Sum[i=1..n] 1/(s(i)^s(i)) where s(i) = i-th semiprime. |
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+0
3
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| 256, 186624, 99179645184, 3874204890000000000, 42041202325478752505760000000000, 131378757267121101580500000000000000, 60877138794045118308172632628761960350250724033554048000000000000000
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OFFSET
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1,1
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COMMENT
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Semiprime analogue of A076265. Fractions are: 1/256, 733/186624, 389546509/99179645184, 15216660895232989/3874204890000000000, 165124648173861912289213141201/42041202325478752505760000000000, 516014525543318775927975356319557/131378757267121101580500000000000000, 11473924061057077116469420939475877122177 / 2921293509192991260690562210500000000000000, 239106294995420151295311285049507497083520504633431021289373163777 / 60877138794045118308172632628761960350250724033554048000000000000000.
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FORMULA
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a(n) = Denominator of Sum[i=1..n] 1/(semiprime(i)^semiprime(i)). a(n) = Denominator of Sum[i=1..n] 1/(A001358(i)^A001358(i)). a(n) = Denominator of Sum[i=1..n] 1/A114850(n).
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EXAMPLE
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a(2) = 186624 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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Numerators = A118055. Cf. A001358, A051674, A114850, A117579.
Sequence in context: A133752 A144322 A013997 this_sequence A013833 A100636 A016796
Adjacent sequences: A118053 A118054 A118055 this_sequence A118057 A118058 A118059
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KEYWORD
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easy,frac,nonn
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AUTHOR
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Jonathan Vos Post (jvospost3(AT)gmail.com), Apr 11 2006
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