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Search: id:A118062
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| A118062 |
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Numerator of Sum[i=1..n] 1/(t(i)^t(i)) where t(i) = i-th 3-almost prime. |
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2
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| 1, 265721, 75047458863267833, 938093235790847912650094635296999121, 2771420766426289313598405374054613260285749630619149892803, 83546357082134777747819786589906868700938637689935705237433756853637190925073724793683
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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3-almost prime analogue of A117579. Semiprime analogue of A117579 is A118056. Fractions are: 1/16777216, 265721/4458050224128, 75047458863267833/1259085058409489202413568, 938093235790847912650094635296999121 / 15738563230118615030169600000000000000000000, 2771420766426289313598405374054613260285749630619149892803 / 46496637333593157266125580467610571799579852800000000000000000000.
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FORMULA
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a(n) = Numerator of Sum[i=1..n] 1/(3almostprime(i)^3almostprime(i)). a(n) = Numerator of Sum[i=1..n] 1/(A014612(i)^A014612(i)). a(n) = Numerator of Sum[i=1..n] 1/A114967(n).
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EXAMPLE
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a(2) = 265721 because (1/A014612(1)^A014612(1)) + (1/A014612(2)^A014612(2))= (1/(8^8)) + (1/(12^12)) = (1/16777216) + (1/8916100448256) = 265721/4458050224128.
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CROSSREFS
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Denominators = A118063. Cf. A001358, A014612, A051674, A114850, A114967, A117579, A118056.
Sequence in context: A098188 A095974 A022202 this_sequence A043629 A075466 A061736
Adjacent sequences: A118059 A118060 A118061 this_sequence A118063 A118064 A118065
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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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