A097070 - cp's OEIS frontend

A097070 Consider all compositions (ordered partitions) of n into n parts, allowing zeros. E.g., for n = 3 we get 300, 030, 003, 210, 120, 201, 102, 021, 012, 111. Then a(n) is the total number of 1's.

n	a(n)
1	1
2	2
3	9
4	40
5	175
6	756
7	3234
8	13728
9	57915
10	243100
11	1016158
12	4232592
13	17577014
14	72804200
15	300874500
16	1240940160
17	5109183315
18	21002455980
19	86213785350
20	353452638000
21	1447388552610
22	5920836618840
23	24197138082780
24	98801168731200
25	403095046038750
26	1643337883690776
27	6694900194799404

[1, 2, 9, 40, 175, 756, 3234, 13728, 57915, 243100, 1016158, 4232592, 17577014, 72804200, 300874500, 1240940160, 5109183315, 21002455980, 86213785350, 353452638000, 1447388552610, 5920836618840, 24197138082780, 98801168731200, 403095046038750, 1643337883690776, 6694900194799404]

cp's OEIS Frontend

A097070 Consider all compositions (ordered partitions) of n into n parts, allowing zeros. E.g., for n = 3 we get 300, 030, 003, 210, 120, 201, 102, 021, 012, 111. Then a(n) is the total number of 1's.

Table of values

List of values