Total number of blocks in all set partitions of [n] with alternating parity of elements.

A305823

Total number of blocks in all set partitions of [n] with alternating parity of elements.

Terms

    a(0) =0a(1) =1a(2) =3a(3) =8a(4) =20a(5) =53a(6) =136a(7) =383a(8) =1067a(9) =3292a(10) =10162a(11) =34586a(12) =118332a(13) =441898a(14) =1660947a(15) =6745710a(16) =27575425a(17) =120801230a(18) =532530170a(19) =2499230441a(20) =11800052796a(21) =58992236094a(22) =296630364605

External references