Number of integer partitions lambda (of any k) satisfying n = max_{p:lambda} p*m(p,lambda), where m(p,lambda) is the multiplicity of part p in lambda.

A332233

Number of integer partitions lambda (of any k) satisfying n = max_{p:lambda} p*m(p,lambda), where m(p,lambda) is the multiplicity of part p in lambda.

Terms

    a(0) =1a(1) =1a(2) =4a(3) =10a(4) =44a(5) =84a(6) =528a(7) =864a(8) =4944a(9) =12720a(10) =56832a(11) =89856a(12) =882432a(13) =1209600a(14) =6036480a(15) =20017152a(16) =98592768a(17) =141834240a(18) =1202135040a(19) =1625702400a(20) =12997877760a(21) =35291013120a(22) =124429271040a(23) =191102976000

External references