A118062 Numerator of Sum_{i=1..n} 1/(t(i)^t(i)) where t(i) = i-th 3-almost prime.

1, 265721, 75047458863267833, 938093235790847912650094635296999121, 2771420766426289313598405374054613260285749630619149892803, 83546357082134777747819786589906868700938637689935705237433756853637190925073724793683

Offset

1,2

Comments

3-almost prime analog of A117579. Semiprime analog of A117579 is A118056. Fractions are 1/16777216, 265721/4458050224128, 75047458863267833/1259085058409489202413568, 938093235790847912650094635296999121 / 15738563230118615030169600000000000000000000, 2771420766426289313598405374054613260285749630619149892803 / 46496637333593157266125580467610571799579852800000000000000000000.

Links

Table of n, a(n) for n=1..6.

Formula

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).

Example

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.

Crossrefs

Denominators = A118063. Cf. A001358, A014612, A051674, A114850, A114967, A117579, A118056.

Sequence in context: A098188 A095974 A022202 * A263063 A043629 A234182

Adjacent sequences: A118059 A118060 A118061 * A118063 A118064 A118065

Keyword

easy,frac,nonn

Author

Jonathan Vos Post, Apr 11 2006

Status

approved