A192722 - cp's OEIS frontend

A192722 T(n,k) = Sum of multinomial(n; n_1,n_2,...,n_k)^2, where the sum extends over all compositions (n_1,n_2,...,n_k) of n into exactly k nonnegative parts.

n	a(n)
1	1
2	1
3	4
4	1
5	18
6	36
7	1
8	68
9	432
10	576
11	1
12	250
13	3900
14	14400
15	14400
16	1
17	922
18	32400
19	252000
20	648000
21	518400
22	1
23	3430
24	262542
25	3880800
26	19404000
27	38102400
28	25401600
29	1
30	12868
31	2119152
32	56664384
33	493920000
34	1795046400
35	2844979200
36	1625702400

[1, 1, 4, 1, 18, 36, 1, 68, 432, 576, 1, 250, 3900, 14400, 14400, 1, 922, 32400, 252000, 648000, 518400, 1, 3430, 262542, 3880800, 19404000, 38102400, 25401600, 1, 12868, 2119152, 56664384, 493920000, 1795046400, 2844979200, 1625702400]

cp's OEIS Frontend

A192722 T(n,k) = Sum of multinomial(n; n_1,n_2,...,n_k)^2, where the sum extends over all compositions (n_1,n_2,...,n_k) of n into exactly k nonnegative parts.

Table of values

List of values