Irregular triangular array, read by rows: T(n,k) is the sum of the products of distinct multinomial coefficients (n_1 + n_2 + n_3 + ...)!/(n_1! * n_2! * n_3! * ...) taken k at a time, where (n_1, n_2, n_3, ...) runs over all integer partitions of n (n >= 0, 0 <= k <= A070289(n)).
A325305
Irregular triangular array, read by rows: T(n,k) is the sum of the products of distinct multinomial coefficients (n_1 + n_2 + n_3 + ...)!/(n_1! * n_2! * n_3! * ...) taken k at a time, where (n_1, n_2, n_3, ...) runs over all integer partitions of n (n >= 0, 0 <= k <= A070289(n)).
Terms
- a(0) =1a(1) =1a(2) =1a(3) =1a(4) =1a(5) =3a(6) =2a(7) =1a(8) =10a(9) =27a(10) =18a(11) =1a(12) =47a(13) =718a(14) =4416a(15) =10656a(16) =6912a(17) =1a(18) =246a(19) =20545a(20) =751800a(21) =12911500a(22) =100380000a(23) =304200000a(24) =216000000a(25) =1a(26) =1602a(27) =929171a(28) =260888070a(29) =39883405500
External references
- oeis: A325305