Number of ordered multiset partitions of integer partitions of n where the sequence of GCDs of the partitions is weakly increasing.

A319001

Number of ordered multiset partitions of integer partitions of n where the sequence of GCDs of the partitions is weakly increasing.

Terms

    a(0) =1a(1) =1a(2) =3a(3) =7a(4) =18a(5) =42a(6) =105a(7) =248a(8) =606a(9) =1450a(10) =3507a(11) =8415a(12) =20305a(13) =48785a(14) =117502a(15) =282574a(16) =680137a(17) =1636005a(18) =3936841a(19) =9470776a(20) =22787529a(21) =54822530a(22) =131901491a(23) =317336519a(24) =763489051a(25) =1836862947a(26) =4419324581a(27) =10632404189a(28) =25580507505a(29) =61543948594

External references