A099263 - cp's OEIS frontend

A099263 a(n) = (1/40320)8^n + (1/1440)6^n + (1/360)5^n + (1/64)4^n + (11/180)3^n + (53/288)2^n + 103/280. Partial sum of Stirling numbers of second kind S(n,i), i=1..8 (i.e., a(n) = Sum_{i=1..8} S(n,i)).

n	a(n)
1	1
2	2
3	5
4	15
5	52
6	203
7	877
8	4140
9	21146
10	115929
11	677359
12	4189550
13	27243100
14	184941915
15	1301576801
16	9433737120
17	69998462014
18	529007272061
19	4054799902003
20	31415584940850
21	245382167055488
22	1928337630016767
23	15222915798289765
24	120582710957928740
25	957566218595705122
26	7618489083072350433

[1, 2, 5, 15, 52, 203, 877, 4140, 21146, 115929, 677359, 4189550, 27243100, 184941915, 1301576801, 9433737120, 69998462014, 529007272061, 4054799902003, 31415584940850, 245382167055488, 1928337630016767, 15222915798289765, 120582710957928740, 957566218595705122, 7618489083072350433]

cp's OEIS Frontend

A099263 a(n) = (1/40320)8^n + (1/1440)6^n + (1/360)5^n + (1/64)4^n + (11/180)3^n + (53/288)2^n + 103/280. Partial sum of Stirling numbers of second kind S(n,i), i=1..8 (i.e., a(n) = Sum_{i=1..8} S(n,i)).

Table of values

List of values

cp's OEIS Frontend

A099263 a(n) = (1/40320)*8^n + (1/1440)*6^n + (1/360)*5^n + (1/64)*4^n + (11/180)*3^n + (53/288)*2^n + 103/280. Partial sum of Stirling numbers of second kind S(n,i), i=1..8 (i.e., a(n) = Sum_{i=1..8} S(n,i)).

Table of values

List of values

A099263 a(n) = (1/40320)8^n + (1/1440)6^n + (1/360)5^n + (1/64)4^n + (11/180)3^n + (53/288)2^n + 103/280. Partial sum of Stirling numbers of second kind S(n,i), i=1..8 (i.e., a(n) = Sum_{i=1..8} S(n,i)).