A341091 - cp's OEIS frontend

A341091 Triangle read by rows: Coefficients for calculation of the sum of all the finite differences from order zero to order k. Sum_{n=0..k} T(n, k)*b(n) = b(0) + b(1) + ... + b(k) + (b(1) - b(0)) + ... + (b(k) - b(k-1)) + ((b(2) - b(1)) - (b(1) - b(0))) + ... .

n	a(n)
0	1
1	0
2	2
3	1
4	-1
5	3
6	0
7	3
8	-3
9	4
10	1
11	-2
12	7
13	-6
14	5
15	0
16	4
17	-8
18	14
19	-10
20	6
21	1
22	-3
23	13
24	-21
25	25
26	-15
27	7
28	0
29	5
30	-15
31	35
32	-45
33	41
34	-21
35	8
36	1
37	-4
38	21
39	-49
40	81
41	-85
42	63
43	-28
44	9
45	0
46	6
47	-24
48	71
49	-129
50	167
51	-147
52	92
53	-36
54	10
55	1
56	-5
57	31
58	-94
59	201
60	-295
61	315
62	-238
63	129
64	-45
65	11

[1, 0, 2, 1, -1, 3, 0, 3, -3, 4, 1, -2, 7, -6, 5, 0, 4, -8, 14, -10, 6, 1, -3, 13, -21, 25, -15, 7, 0, 5, -15, 35, -45, 41, -21, 8, 1, -4, 21, -49, 81, -85, 63, -28, 9, 0, 6, -24, 71, -129, 167, -147, 92, -36, 10, 1, -5, 31, -94, 201, -295, 315, -238, 129, -45, 11]

cp's OEIS Frontend

A341091 Triangle read by rows: Coefficients for calculation of the sum of all the finite differences from order zero to order k. Sum_{n=0..k} T(n, k)*b(n) = b(0) + b(1) + ... + b(k) + (b(1) - b(0)) + ... + (b(k) - b(k-1)) + ((b(2) - b(1)) - (b(1) - b(0))) + ... .

Table of values

List of values