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 A144835 Denominators of an Egyptian fraction for 1/zeta(2) = 0.607927101854... (A059956). 23
 2, 10, 127, 18838, 522338493, 727608914652776081, 990935377560451600699026552443764271, 1223212384013602554473872691328685513734082755736750146553750539914774364 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 REFERENCES 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. LINKS 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 (*Artur Jasinski*) 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, A069139, A110820, A117116, A118323, A118324, A118325. Sequence in context: A092645 A333455 A202950 * A305028 A119191 A125993 Adjacent sequences:  A144832 A144833 A144834 * A144836 A144837 A144838 KEYWORD frac,nonn AUTHOR Artur Jasinski, Sep 22 2008 STATUS approved

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Last modified April 8 03:43 EDT 2020. Contains 333312 sequences. (Running on oeis4.)