A225327 Partition numbers of the form 7k.

7, 42, 56, 77, 231, 385, 490, 1575, 2436, 3010, 10143, 21637, 31185, 37338, 44583, 124754, 147273, 281589, 329931, 386155, 451276, 1121505, 3087735, 8118264, 9289091, 20506255, 23338469, 49995925, 118114304, 133230930, 271248950, 607163746

Offset: 1

Author

Omar E. Pol, May 05 2013

Keywords

• nonn

Comments

Intersection of A008589 and A000041.

Examples

			42 is in the sequence because 7*6 = 42 and 42 is a partition number: p(10) = A000041(10) = 42.
		

Links

• Paul Tek, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A000041, A008589, A052001, A072871, A087183, A225324, A225325, A225326, A225358, A225360, A127544, A225361.

Programs

Mathematica

Select[PartitionsP[Range[300]], Mod[#, 7] == 0 &]

Formula

a(n) = 7*A222175(n).