A089664 - cp's OEIS frontend

A089664 a(n) = S2(n,1), where S2(n, t) = Sum_{k=0..n} k^t *(Sum_{j=0..k} binomial(n,j))^2.

n	a(n)
0	0
1	4
2	41
3	306
4	1966
5	11540
6	63726
7	336700
8	1720364
9	8562024
10	41718190
11	199753004
12	942561636
13	4392660376
14	20253510956
15	92519626200
16	419201709976
17	1885719209936
18	8428262686254
19	37453751742604
20	165575219275700
21	728534225415864
22	3191850894862564

[0, 4, 41, 306, 1966, 11540, 63726, 336700, 1720364, 8562024, 41718190, 199753004, 942561636, 4392660376, 20253510956, 92519626200, 419201709976, 1885719209936, 8428262686254, 37453751742604, 165575219275700, 728534225415864, 3191850894862564]

cp's OEIS Frontend

A089664 a(n) = S2(n,1), where S2(n, t) = Sum_{k=0..n} k^t *(Sum_{j=0..k} binomial(n,j))^2.

Table of values

List of values