A201636 - cp's OEIS frontend

A201636 Triangle read by rows, n>=0, k>=0, T(0,0) = 1, T(n,k) = Sum_{j=0..k} (C(n+k,k-j)(-1)^(k-j)2^(n-j)Sum_{i=0..j} (C(n+j,i)|S(n+j-i,j-i)|)), S = Stirling number of first kind.

n	a(n)
0	1
1	0
2	1
3	0
4	4
5	3
6	0
7	24
8	40
9	15
10	0
11	192
12	520
13	420
14	105
15	0
16	1920
17	7392
18	9520
19	5040
20	945
21	0
22	23040
23	116928
24	211456
25	176400
26	69300
27	10395
28	0
29	322560
30	2055168
31	4858560
32	5642560
33	3465000
34	1081080
35	135135
36	0
37	5160960
38	39896064
39	117722880
40	177580480
41	150870720
42	73153080
43	18918900
44	2027025

[1, 0, 1, 0, 4, 3, 0, 24, 40, 15, 0, 192, 520, 420, 105, 0, 1920, 7392, 9520, 5040, 945, 0, 23040, 116928, 211456, 176400, 69300, 10395, 0, 322560, 2055168, 4858560, 5642560, 3465000, 1081080, 135135, 0, 5160960, 39896064, 117722880, 177580480, 150870720, 73153080, 18918900, 2027025]

cp's OEIS Frontend

A201636 Triangle read by rows, n>=0, k>=0, T(0,0) = 1, T(n,k) = Sum_{j=0..k} (C(n+k,k-j)(-1)^(k-j)2^(n-j)Sum_{i=0..j} (C(n+j,i)|S(n+j-i,j-i)|)), S = Stirling number of first kind.

Table of values

List of values

cp's OEIS Frontend

A201636 Triangle read by rows, n>=0, k>=0, T(0,0) = 1, T(n,k) = Sum_{j=0..k} (C(n+k,k-j)*(-1)^(k-j)*2^(n-j)*Sum_{i=0..j} (C(n+j,i)*|S(n+j-i,j-i)|)), S = Stirling number of first kind.

Table of values

List of values

A201636 Triangle read by rows, n>=0, k>=0, T(0,0) = 1, T(n,k) = Sum_{j=0..k} (C(n+k,k-j)(-1)^(k-j)2^(n-j)Sum_{i=0..j} (C(n+j,i)|S(n+j-i,j-i)|)), S = Stirling number of first kind.