Total number of blocks in all set partitions of [n] such that each element is contained in a block whose index parity coincides with the parity of the element.

A364267

Total number of blocks in all set partitions of [n] such that each element is contained in a block whose index parity coincides with the parity of the element.

Terms

    a(0) =0a(1) =1a(2) =2a(3) =5a(4) =9a(5) =24a(6) =55a(7) =169a(8) =454a(9) =1567a(10) =4823a(11) =18422a(12) =63609a(13) =265929a(14) =1014266a(15) =4595861a(16) =19143089a(17) =93286964a(18) =420483103a(19) =2189786125a(20) =10601936382a(21) =58688597511a(22) =303349005967

External references