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

1,1

Comments

Intersection of A008589 and A000041.

Links

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

Formula

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

Example

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

Mathematica

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

Crossrefs

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

Sequence in context: A183064 A290045 A188066 * A102532 A297405 A044109

Adjacent sequences: A225324 A225325 A225326 * A225328 A225329 A225330

Keyword

nonn

Author

Omar E. Pol, May 05 2013

Status

approved