A101032 - cp's OEIS frontend

A101032 Table (read by rows) giving the coefficients of sum formulas of n-th Lucas numbers (A000204). 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 L(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	-1
6	2
7	1
8	-6
9	17
10	6
11	1
12	-14
13	83
14	-142
15	24
16	1
17	-25
18	265
19	-1235
20	2314
21	120
22	1
23	-39
24	655
25	-5565
26	24184
27	-41556
28	720
29	1
30	-56
31	1372
32	-18200
33	137599
34	-556304
35	944628
36	5040
37	1
38	-76
39	2562
40	-48664
41	560049
42	-3884524
43	15021068
44	-24875376
45	40320
46	1
47	-99
48	4398
49	-113022
50	1829793
51	-19043451

[1, 1, 1, 1, -1, 2, 1, -6, 17, 6, 1, -14, 83, -142, 24, 1, -25, 265, -1235, 2314, 120, 1, -39, 655, -5565, 24184, -41556, 720, 1, -56, 1372, -18200, 137599, -556304, 944628, 5040, 1, -76, 2562, -48664, 560049, -3884524, 15021068, -24875376, 40320, 1, -99, 4398, -113022, 1829793, -19043451]

cp's OEIS Frontend

A101032 Table (read by rows) giving the coefficients of sum formulas of n-th Lucas numbers (A000204). 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 L(n) = Sum_{i=1..k} T(i,k) n^(k-i) / (k-1)!.

Table of values

List of values

cp's OEIS Frontend

A101032 Table (read by rows) giving the coefficients of sum formulas of n-th Lucas numbers (A000204). 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 L(n) = Sum_{i=1..k} T(i,k) * n^(k-i) / (k-1)!.

Table of values

List of values

A101032 Table (read by rows) giving the coefficients of sum formulas of n-th Lucas numbers (A000204). 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 L(n) = Sum_{i=1..k} T(i,k) n^(k-i) / (k-1)!.