login
A035703
Numbers k such that the numbers of partitions and partitions-into-distinct-parts of k have a common factor.
2
7, 8, 9, 10, 11, 19, 21, 25, 26, 27, 28, 30, 31, 32, 33, 34, 35, 40, 41, 42, 45, 46, 47, 48, 50, 55, 57, 58, 59, 60, 62, 64, 65, 66, 68, 69, 74, 75, 78, 79, 80, 84, 85, 86, 94, 96, 97, 98, 101, 103, 105, 106, 108, 109, 110, 111, 112, 113, 116, 119, 120, 122, 124, 125
OFFSET
1,1
MATHEMATICA
Select[Range[2, 200], Length[Intersection[Transpose[ FactorInteger[ PartitionsP[#]]][[1]], Transpose[FactorInteger[PartitionsQ[#]]] [[1]]]]>0&] (* Harvey P. Dale, Nov 03 2013 *)
CROSSREFS
KEYWORD
nonn
STATUS
approved