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Search: id:A091458
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| 1, 2, 6, 66, 1650, 645414, 52975482882, 312802364749726356414
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OFFSET
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1,2
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FORMULA
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Let 1 = 1/x_1 + ... + 1/x_{n-1} + p/q, where 1/x_1>=...>=1/x_{n-1}>=p/q and (p, q)=1. a(n) = q corresponding to maximal p (=A091457(n)) over all such expansions.
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EXAMPLE
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a(7) = 52975482882 because 1 = 1/2 + 1/3 + 1/7 + 1/43 + 1/5413 + 1/5419 + 9770455/52975482882, and there is no expansion with larger numerator of the remainder.
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CROSSREFS
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Cf. A091457, A000058.
Sequence in context: A046399 A082617 A006517 this_sequence A087331 A097419 A136268
Adjacent sequences: A091455 A091456 A091457 this_sequence A091459 A091460 A091461
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KEYWORD
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frac,hard,nonn
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AUTHOR
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Max Alekseyev (maxal(AT)cs.ucsd.edu), Jan 11 2004
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