Number of partitions of {1...n} containing 3 detached pairs of consecutive integers, i.e., partitions in which only 1- or 2-strings of consecutive integers can appear in a block and there are exactly three 2-strings.

A105489

Number of partitions of {1...n} containing 3 detached pairs of consecutive integers, i.e., partitions in which only 1- or 2-strings of consecutive integers can appear in a block and there are exactly three 2-strings.

Terms

    a(0) =2a(1) =20a(2) =150a(3) =1040a(4) =7105a(5) =49112a(6) =347760a(7) =2537640a(8) =19135875a(9) =149285400a(10) =1205088742a(11) =10062575068a(12) =86859191510a(13) =774456785200

External references