A306463 - cp's OEIS frontend

A306463 a(n) = Sum_{k=0..n} Sum_{m=0..floor(k/2)} binomial(k-m, m)*binomial(n-k, k-m)^2.

n	a(n)
0	1
1	1
2	2
3	6
4	15
5	37
6	98
7	262
8	699
9	1883
10	5110
11	13918
12	38045
13	104355
14	287028
15	791320
16	2186209
17	6051113
18	16776022
19	46577806
20	129491865
21	360432855
22	1004332322
23	2801307498
24	7820572153
25	21851390549
26	61101872126
27	170977916730
28	478755116117
29	1341389394715
30	3760507521800

[1, 1, 2, 6, 15, 37, 98, 262, 699, 1883, 5110, 13918, 38045, 104355, 287028, 791320, 2186209, 6051113, 16776022, 46577806, 129491865, 360432855, 1004332322, 2801307498, 7820572153, 21851390549, 61101872126, 170977916730, 478755116117, 1341389394715, 3760507521800]

cp's OEIS Frontend

A306463 a(n) = Sum_{k=0..n} Sum_{m=0..floor(k/2)} binomial(k-m, m)*binomial(n-k, k-m)^2.

Table of values

List of values