A270953 - cp's OEIS frontend

A270953 Number T(n,k) of set partitions of [n] having exactly k pairs (m,m+1) such that m+1 is in some block b and m is in block b+1; triangle T(n,k), n>=0, 0<=k<=n-floor((1+sqrt(max(0,8n-7)))/2), read by rows.

n	a(n)
0	1
1	1
2	2
3	4
4	1
5	9
6	6
7	25
8	24
9	3
10	84
11	91
12	27
13	1
14	323
15	374
16	159
17	21
18	1377
19	1699
20	857
21	197
22	10
23	6412
24	8410
25	4726
26	1421
27	174
28	4
29	32312
30	44794
31	27385
32	9573
33	1783
34	127
35	1
36	174941
37	254718
38	167097
39	64724
40	15158
41	1856
42	76
43	1011357
44	1538027
45	1071422
46	449567
47	121464
48	20074
49	1650
50	36

[1, 1, 2, 4, 1, 9, 6, 25, 24, 3, 84, 91, 27, 1, 323, 374, 159, 21, 1377, 1699, 857, 197, 10, 6412, 8410, 4726, 1421, 174, 4, 32312, 44794, 27385, 9573, 1783, 127, 1, 174941, 254718, 167097, 64724, 15158, 1856, 76, 1011357, 1538027, 1071422, 449567, 121464, 20074, 1650, 36]

cp's OEIS Frontend

A270953 Number T(n,k) of set partitions of [n] having exactly k pairs (m,m+1) such that m+1 is in some block b and m is in block b+1; triangle T(n,k), n>=0, 0<=k<=n-floor((1+sqrt(max(0,8n-7)))/2), read by rows.

Table of values

List of values