A299045 - cp's OEIS frontend

A299045 Rectangular array: A(n,k) = Sum_{j=0..k} (-1)^floor(j/2)binomial(k-floor((j+1)/2), floor(j/2))(-n)^(k-j), n >= 1, k >= 0, read by antidiagonals.

n	a(n)
1	1
2	1
3	0
4	1
5	-1
6	-1
7	1
8	-2
9	1
10	1
11	1
12	-3
13	5
14	-1
15	0
16	1
17	-4
18	11
19	-13
20	1
21	-1
22	1
23	-5
24	19
25	-41
26	34
27	-1
28	1
29	1
30	-6
31	29
32	-91
33	153
34	-89
35	1
36	0
37	1
38	-7
39	41
40	-169
41	436
42	-571
43	233
44	-1
45	-1
46	1
47	-8
48	55
49	-281
50	985
51	-2089
52	2131
53	-610
54	1
55	1
56	1
57	-9
58	71
59	-433
60	1926
61	-5741
62	10009
63	-7953
64	1597
65	-1
66	0

[1, 1, 0, 1, -1, -1, 1, -2, 1, 1, 1, -3, 5, -1, 0, 1, -4, 11, -13, 1, -1, 1, -5, 19, -41, 34, -1, 1, 1, -6, 29, -91, 153, -89, 1, 0, 1, -7, 41, -169, 436, -571, 233, -1, -1, 1, -8, 55, -281, 985, -2089, 2131, -610, 1, 1, 1, -9, 71, -433, 1926, -5741, 10009, -7953, 1597, -1, 0]

cp's OEIS Frontend

A299045 Rectangular array: A(n,k) = Sum_{j=0..k} (-1)^floor(j/2)binomial(k-floor((j+1)/2), floor(j/2))(-n)^(k-j), n >= 1, k >= 0, read by antidiagonals.

Table of values

List of values

cp's OEIS Frontend

A299045 Rectangular array: A(n,k) = Sum_{j=0..k} (-1)^floor(j/2)*binomial(k-floor((j+1)/2), floor(j/2))*(-n)^(k-j), n >= 1, k >= 0, read by antidiagonals.

Table of values

List of values

A299045 Rectangular array: A(n,k) = Sum_{j=0..k} (-1)^floor(j/2)binomial(k-floor((j+1)/2), floor(j/2))(-n)^(k-j), n >= 1, k >= 0, read by antidiagonals.