A089659 - cp's OEIS frontend

A089659 a(n) = S1(n,2), where S1(n, t) = Sum_{k=0..n} (k^t * Sum_{j=0..k} binomial(n,j)).

n	a(n)
0	0
1	2
2	19
3	104
4	440
5	1600
6	5264
7	16128
8	46848
9	130560
10	352000
11	923648
12	2369536
13	5963776
14	14766080
15	36044800
16	86900736
17	207224832
18	489357312
19	1145569280
20	2660761600
21	6136266752
22	14060355584
23	32027705344
24	72561459200
25	163577856000
26	367068708864
27	820204535808

[0, 2, 19, 104, 440, 1600, 5264, 16128, 46848, 130560, 352000, 923648, 2369536, 5963776, 14766080, 36044800, 86900736, 207224832, 489357312, 1145569280, 2660761600, 6136266752, 14060355584, 32027705344, 72561459200, 163577856000, 367068708864, 820204535808]

cp's OEIS Frontend

A089659 a(n) = S1(n,2), where S1(n, t) = Sum_{k=0..n} (k^t * Sum_{j=0..k} binomial(n,j)).

Table of values

List of values