A111999 - cp's OEIS frontend

A111999 T(n, k) = [x^k] (-1)^nSum_{k=0..n} E2(n, n-k)(1+x)^(n-k) where E2(n, k) are the second-order Eulerian numbers. Triangle read by rows, T(n, k) for n >= 1 and 0 <= k <= n.

n	a(n)
1	-1
2	3
3	2
4	-15
5	-20
6	-6
7	105
8	210
9	130
10	24
11	-945
12	-2520
13	-2380
14	-924
15	-120
16	10395
17	34650
18	44100
19	26432
20	7308
21	720
22	-135135
23	-540540
24	-866250
25	-705320
26	-303660
27	-64224
28	-5040
29	2027025
30	9459450
31	18288270
32	18858840
33	11098780
34	3678840
35	623376
36	40320
37	-34459425
38	-183783600
39	-416215800

[-1, 3, 2, -15, -20, -6, 105, 210, 130, 24, -945, -2520, -2380, -924, -120, 10395, 34650, 44100, 26432, 7308, 720, -135135, -540540, -866250, -705320, -303660, -64224, -5040, 2027025, 9459450, 18288270, 18858840, 11098780, 3678840, 623376, 40320, -34459425, -183783600, -416215800]

cp's OEIS Frontend

A111999 T(n, k) = [x^k] (-1)^nSum_{k=0..n} E2(n, n-k)(1+x)^(n-k) where E2(n, k) are the second-order Eulerian numbers. Triangle read by rows, T(n, k) for n >= 1 and 0 <= k <= n.

Table of values

List of values

cp's OEIS Frontend

A111999 T(n, k) = [x^k] (-1)^n*Sum_{k=0..n} E2(n, n-k)*(1+x)^(n-k) where E2(n, k) are the second-order Eulerian numbers. Triangle read by rows, T(n, k) for n >= 1 and 0 <= k <= n.

Table of values

List of values

A111999 T(n, k) = [x^k] (-1)^nSum_{k=0..n} E2(n, n-k)(1+x)^(n-k) where E2(n, k) are the second-order Eulerian numbers. Triangle read by rows, T(n, k) for n >= 1 and 0 <= k <= n.