OFFSET
1,5
COMMENTS
...
..1
..1...1
..1...2...1
..1...3...2...1
..1...5...4...2...1
..1...6...6...5...3...1
..1...9..10...8...5...2...1
..1..11..14..13..10...6...3...1
..1..14..20..22..21..15...9...4...1
..1..16..26..36..39..33..22..11...4...1
..1..21..36..47..49..40..27..14...6...2...1
..1..23..44..70..87..89..76..53..31..14...5...1
..1..29..58..88.105.103..87..60..36..17...7...2...1
...
LINKS
Robert G. Wilson v, Table of n, a(n) for n = 1..389.
EXAMPLE
t(6,3) = 6 because 1 = 2/3+1/6+1/6 = 3/5+1/5+1/5 = 1/2+1/3+1/6 = 1/2+1/4+1/4 = 2/5+2/5+1/5 = 1/3+1/3+1/3.
MATHEMATICA
Farey[n_] := Union@ Flatten@ Table[a/b, {b, n}, {a, b}]; t[n_, k_] := Length@ IntegerPartitions[1, {k}, Farey@ n]; Table[ t[n, k], {n, 13}, {k, n}] // Flatten
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Robert G. Wilson v, Aug 30 2010
STATUS
approved