A214391 Denominators of Sum_{n>=1} 1/A045542(n).

3, 21, 168, 280, 210, 1365, 42315, 8463, 45136, 406224, 253890, 310310, 744744, 744744, 94582488, 661416, 110236, 21496020, 924328860, 7394630880, 894750336480, 5070251906720, 5704033395060, 6375096147420, 6375096147420, 2550038458968, 2550038458968

Offset

1,1

Comments

Goldbach-Euler: sum A214390(n)/a(n) -> 1, n -> oo.

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..1000

L. Bibiloni, P. Viader, and J. Paradis, On a Series of Goldbach and Euler, Amer. Math. Monthly, 113 (2006), pp. 206-220.

Prog

(Haskell)
import Data.Ratio ((%), denominator)
a214391 n = a214391_list !! (n-1)
a214391_list = map denominator $ scanl1 (+) $ map (1 %) a045542_list

Crossrefs

Cf. A214390 (numerators).

Sequence in context: A262977 A361375 A371771 * A370284 A046637 A220103

Adjacent sequences: A214388 A214389 A214390 * A214392 A214393 A214394

Keyword

nonn,frac

Author

Reinhard Zumkeller, Jul 15 2012

Status

approved