A144835 Denominators of an Egyptian fraction for 1/zeta(2) = 0.607927101854... (A059956).

2, 10, 127, 18838, 522338493, 727608914652776081, 990935377560451600699026552443764271, 1223212384013602554473872691328685513734082755736750146553750539914774364

Offset

1,1

Links

Amiram Eldar, Table of n, a(n) for n = 1..11

Mohammad K. Azarian, Sylvester's Sequence and the Infinite Egyptian Fraction Decomposition of 1, Problem 958, College Mathematics Journal, Vol. 42, No. 4, September 2011, p. 330. Solution published in Vol. 43, No. 4, September 2012, pp. 340-342.

Eric Weisstein's World of Mathematics, Egyptian Fraction.

Index entries for sequences related to Egyptian fractions.

Example

1/zeta(2) = 0.607927101854... = 1/2 + 1/10 + 1/127 + 1/18838 + ...

Mathematica

a = {}; k = N[1/Zeta[2], 1000]; Do[s = Ceiling[1/k]; AppendTo[a, s]; k = k - 1/s, {n, 1, 10}]; a

Prog

(PARI) x=1/zeta(2); while(x, t=1\x+1; print1(t", "); x -= 1/t) \\ Charles R Greathouse IV, Nov 08 2013

Crossrefs

Cf. A001466, A006487, A006524, A006525, A006526, A059956, A069139, A110820, A117116, A118323, A118324, A118325.

Sequence in context: A372316 A334555 A202950 * A305028 A119191 A125993

Adjacent sequences: A144832 A144833 A144834 * A144836 A144837 A144838

Keyword

frac,nonn

Author

Artur Jasinski, Sep 22 2008

Status

approved