OFFSET
1,7
COMMENTS
EXAMPLE
Among the 15 partitions of 7, the following 6 have #(occurrences of least part) = #(occurrences of greatest part): 7, 61, 52, 43, 421, 111111; the following 7 have " > " in place of " = ": 511, 4111, 322, 3211, 31111, 22111, 211111; and the remaining 2, have " < ": 331, 221.
MATHEMATICA
z = 65; s = Map[Map[Length, {Select[#, First[#] == Last[#] &], Select[#, First[#] > Last[#] &], Select[#, First[#] < Last[#] &]} &[Map[{Count[#, Min[#]], Count[#, Max[#]]} &, IntegerPartitions[#]]]] &, Range[z]]; t = Flatten[s];
t1 = Table[t[[3 k - 2]], {k, 1, z}] (* A236543 *)
t2 = Table[t[[3 k - 1]], {k, 1, z}] (* A236544 *)
t3 = Table[t[[3 k]], {k, 1, z}] (* A236545 *)
(* Peter J. C. Moses, Jan 28 2014 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Jan 28 2014
STATUS
approved