A361888 - cp's OEIS frontend

A361888 a(n) = S(5,n)/S(1,n), where S(r,n) = Sum_{k = 0..floor(n/2)} ( binomial(n,k) - binomial(n,k-1) )^r.

n	a(n)
0	1
1	1
2	1
3	11
4	46
5	415
6	3265
7	30955
8	299500
9	3173626
10	33576266
11	386672861
12	4340714886
13	52846226091
14	620906440961
15	7857161332715
16	95704821415240
17	1246162831674580
18	15624127945644100
19	207990691516965886
20	2669841775757784796
21	36176886727828945286
22	473508685502539872586

[1, 1, 1, 11, 46, 415, 3265, 30955, 299500, 3173626, 33576266, 386672861, 4340714886, 52846226091, 620906440961, 7857161332715, 95704821415240, 1246162831674580, 15624127945644100, 207990691516965886, 2669841775757784796, 36176886727828945286, 473508685502539872586]

cp's OEIS Frontend

A361888 a(n) = S(5,n)/S(1,n), where S(r,n) = Sum_{k = 0..floor(n/2)} ( binomial(n,k) - binomial(n,k-1) )^r.

Table of values

List of values