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A144835
Denominators of an Egyptian fraction for 1/zeta(2) = 0.607927101854... (A059956).
24
2, 10, 127, 18838, 522338493, 727608914652776081, 990935377560451600699026552443764271, 1223212384013602554473872691328685513734082755736750146553750539914774364
OFFSET
1,1
LINKS
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.
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
KEYWORD
frac,nonn
AUTHOR
Artur Jasinski, Sep 22 2008
STATUS
approved