Number of set partitions of [n] with alternating parity of elements and exactly ceiling(n/2) blocks.

A305785

Number of set partitions of [n] with alternating parity of elements and exactly ceiling(n/2) blocks.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =2a(4) =3a(5) =7a(6) =14a(7) =33a(8) =84a(9) =204a(10) =627a(11) =1558a(12) =5692a(13) =14402a(14) =60752a(15) =155828a(16) =747046a(17) =1937292a(18) =10385051a(19) =27176489a(20) =161160411a(21) =424958631a(22) =2760858706a(23) =7327447983a(24) =51762453941a(25) =138150105263

External references