A089665 - cp's OEIS frontend

A089665 a(n) = S2(n,2), 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	73
3	788
4	6630
5	48120
6	316526
7	1940568
8	11284380
9	62968560
10	339954670
11	1786320184
12	9176663028
13	46248446608
14	229285525420
15	1120646918000
16	5409322603896
17	25824570392544
18	122086747617198
19	572130452101240
20	2660063893120900
21	12279619924999504
22	56318986959592676

[0, 4, 73, 788, 6630, 48120, 316526, 1940568, 11284380, 62968560, 339954670, 1786320184, 9176663028, 46248446608, 229285525420, 1120646918000, 5409322603896, 25824570392544, 122086747617198, 572130452101240, 2660063893120900, 12279619924999504, 56318986959592676]

cp's OEIS Frontend

A089665 a(n) = S2(n,2), where S2(n, t) = Sum_{k=0..n} k^t *(Sum_{j=0..k} binomial(n,j))^2.

Table of values

List of values