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A139520
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Denominators of an Egyptian fraction for Catalan constant, using only prime numbers and allowing repetitions.
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2
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2, 3, 13, 179, 8161, 17319373, 24288185721827, 115965508643355137277722177, 235520782452648150490328050427067627593114827790363, 34927738441197833781363566983541975805101681093066970452740268721673910282017002081858804680098723909
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OFFSET
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0,1
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COMMENTS
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Good approximation up to 789 decimal digits.
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REFERENCES
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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.
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LINKS
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Table of n, a(n) for n=0..9.
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MAPLE
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P:=proc(n) local a, i; a:=evalf(Catalan, 100); for i from 1 by 1 to n do if 1/ithprime(i)<a then a:=a-1/ithprime(i); print(a); print(ithprime(i)); fi; od; end: P(100000);
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CROSSREFS
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Cf. A139514-A139519, A139521-A139523.
Sequence in context: A113785 A118323 A113494 * A132535 A056806 A270403
Adjacent sequences: A139517 A139518 A139519 * A139521 A139522 A139523
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KEYWORD
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easy,nonn,frac
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AUTHOR
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Paolo P. Lava and Giorgio Balzarotti, Apr 28 2008
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STATUS
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approved
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