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A075785
Number of ways to express 3/n as Egyptian fractions in just three terms.
5
0, 1, 1, 3, 7, 6, 6, 16, 15, 15, 13, 22, 8, 27, 30, 26, 21, 45, 8, 59, 36, 29, 20, 62, 32, 45, 69, 67, 27, 84, 14, 59, 56, 44, 129, 142, 15, 45, 53, 130, 31, 124, 21, 131, 178, 40, 29, 118, 38, 88, 67, 102, 43, 191, 102, 180, 74, 57, 43, 274, 21, 75, 227, 86, 144, 145, 23, 121, 87
OFFSET
1,4
MATHEMATICA
Needs["MyOwn`Egypt`"]; Table[ Length[ EgyptianFraction[3/n, Method -> Lexicographic, MaxTerms -> 3, MinTerms -> 3, Duplicates -> Disallow, OutputFormat -> Plain]], {n, 5, 70}]
f[n_] := Length@ Solve[3/n == 1/x + 1/y + 1/z && 0 < x < y < z, {x, y, z}, Integers]; Array[f, 69] (* Robert G. Wilson v, Jul 17 2013 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Robert G. Wilson v, Aug 18 2002
STATUS
approved