A370518 - cp's OEIS frontend

A370518 Triangle of numbers read by rows: T(n,k) = Sum_{i=0..n} binomial(n,i)(n-i)!Stirling1(i,k)TC(n,i) where TC(n,k) = Sum_{i=0..n-k} binomial(n+1,n-k-i)Stirling2(i+3,i+1)*(-1)^(i) for n >= 0, 0 <= k <= n.

n	a(n)
0	1
1	-5
2	1
3	14
4	-9
5	1
6	-18
7	29
8	-12
9	1
10	0
11	-22
12	35
13	-14
14	1
15	0
16	-26
17	15
18	25
19	-15
20	1
21	0
22	-60
23	4
24	75
25	-5
26	-15
27	1
28	0
29	-204
30	-56
31	259
32	70
33	-56
34	-14
35	1
36	0
37	-912
38	-484
39	1092
40	609
41	-168
42	-126
43	-12
44	1
45	0
46	-5040
47	-3708
48	5480
49	4599
50	-231
51	-882
52	-210
53	-9
54	1
55	0
56	-33120
57	-30024
58	31820
59	36350
60	3675
61	-6027
62	-2370
63	-300
64	-5
65	1

[1, -5, 1, 14, -9, 1, -18, 29, -12, 1, 0, -22, 35, -14, 1, 0, -26, 15, 25, -15, 1, 0, -60, 4, 75, -5, -15, 1, 0, -204, -56, 259, 70, -56, -14, 1, 0, -912, -484, 1092, 609, -168, -126, -12, 1, 0, -5040, -3708, 5480, 4599, -231, -882, -210, -9, 1, 0, -33120, -30024, 31820, 36350, 3675, -6027, -2370, -300, -5, 1]

cp's OEIS Frontend

A370518 Triangle of numbers read by rows: T(n,k) = Sum_{i=0..n} binomial(n,i)(n-i)!Stirling1(i,k)TC(n,i) where TC(n,k) = Sum_{i=0..n-k} binomial(n+1,n-k-i)Stirling2(i+3,i+1)*(-1)^(i) for n >= 0, 0 <= k <= n.

Table of values

List of values

cp's OEIS Frontend

A370518 Triangle of numbers read by rows: T(n,k) = Sum_{i=0..n} binomial(n,i)*(n-i)!*Stirling1(i,k)*TC(n,i) where TC(n,k) = Sum_{i=0..n-k} binomial(n+1,n-k-i)*Stirling2(i+3,i+1)*(-1)^(i) for n >= 0, 0 <= k <= n.

Table of values

List of values

A370518 Triangle of numbers read by rows: T(n,k) = Sum_{i=0..n} binomial(n,i)(n-i)!Stirling1(i,k)TC(n,i) where TC(n,k) = Sum_{i=0..n-k} binomial(n+1,n-k-i)Stirling2(i+3,i+1)*(-1)^(i) for n >= 0, 0 <= k <= n.