A099731 - cp's OEIS frontend

A099731 This table shows the coefficients of sum formulas of n-th Fibonacci numbers (A000045). The k-th row (k>=1) contains T(i,k) for i=1 to k, where k=[2n+1+(-1)^(n-1)]/4 and T(i,k) satisfies F(n)= Sum_{i=1..k} T(i,k) n^(k-i)/(k-1)!.

n	a(n)
1	1
2	1
3	-1
4	1
5	-5
6	10
7	1
8	-12
9	59
10	-90
11	1
12	-22
13	203
14	-830
15	1320
16	1
17	-35
18	525
19	-3985
20	15374
21	-23640
22	1
23	-51
24	1135
25	-13665
26	93544
27	-342324
28	523440
29	1
30	-70
31	2170
32	-37870
33	399889
34	-2542540
35	8997540
36	-13633200
37	1
38	-92
39	3794
40	-90440
41	1356929
42	-13076588
43	78896236
44	-271996080
45	409852800
46	1
47	-117
48	6198
49	-193410

[1, 1, -1, 1, -5, 10, 1, -12, 59, -90, 1, -22, 203, -830, 1320, 1, -35, 525, -3985, 15374, -23640, 1, -51, 1135, -13665, 93544, -342324, 523440, 1, -70, 2170, -37870, 399889, -2542540, 8997540, -13633200, 1, -92, 3794, -90440, 1356929, -13076588, 78896236, -271996080, 409852800, 1, -117, 6198, -193410]

cp's OEIS Frontend

A099731 This table shows the coefficients of sum formulas of n-th Fibonacci numbers (A000045). The k-th row (k>=1) contains T(i,k) for i=1 to k, where k=[2n+1+(-1)^(n-1)]/4 and T(i,k) satisfies F(n)= Sum_{i=1..k} T(i,k) n^(k-i)/(k-1)!.

Table of values

List of values

cp's OEIS Frontend

A099731 This table shows the coefficients of sum formulas of n-th Fibonacci numbers (A000045). The k-th row (k>=1) contains T(i,k) for i=1 to k, where k=[2*n+1+(-1)^(n-1)]/4 and T(i,k) satisfies F(n)= Sum_{i=1..k} T(i,k) * n^(k-i)/(k-1)!.

Table of values

List of values

A099731 This table shows the coefficients of sum formulas of n-th Fibonacci numbers (A000045). The k-th row (k>=1) contains T(i,k) for i=1 to k, where k=[2n+1+(-1)^(n-1)]/4 and T(i,k) satisfies F(n)= Sum_{i=1..k} T(i,k) n^(k-i)/(k-1)!.