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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

Table of n, a(n) for n=1..8.

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.)