Number of partitions of [n] such that the number of blocks containing only odd elements equals the number of blocks containing only even elements and no block contains both odd and even elements.
A363454
Number of partitions of [n] such that the number of blocks containing only odd elements equals the number of blocks containing only even elements and no block contains both odd and even elements.
Terms
- a(0) =1a(1) =0a(2) =1a(3) =1a(4) =2a(5) =4a(6) =11a(7) =28a(8) =87a(9) =266a(10) =952a(11) =3381a(12) =13513a(13) =53915a(14) =237113a(15) =1046732a(16) =5016728a(17) =24186664a(18) =125121009a(19) =652084528a(20) =3615047527a(21) =20211789423a(22) =119384499720a(23) =711572380960
External references
- oeis: A363454