A035703 Numbers k such that the numbers of partitions and partitions-into-distinct-parts of k have a common factor.

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

Links

Table of n, a(n) for n=1..64.

Mathematica

Select[Range[2, 200], Length[Intersection[Transpose[ FactorInteger[ PartitionsP[#]]][[1]], Transpose[FactorInteger[PartitionsQ[#]]] [[1]]]]>0&] (* Harvey P. Dale, Nov 03 2013 *)

Crossrefs

Cf. A000009, A000041, A035704, A035705.

Sequence in context: A100562 A115841 A058367 * A065976 A236683 A120200

Adjacent sequences: A035700 A035701 A035702 * A035704 A035705 A035706

Keyword

nonn

Author

Olivier Gérard

Status

approved