A100492 - cp's OEIS frontend

A100492 Triangle read by rows giving the coefficients of general sum formulas of n-th Fibonacci numbers (A000045). The k-th row (k>=1) contains T(i,k) for i=1 to 2k-1, where T(i,k) satisfies F(n) = Sum_{k=1..n} Sum_{i=1..2k-1} T(i,k) * C(n-k,i-1) * n^(n-k) / (n-1)!.

n	a(n)
1	1
2	-1
3	-4
4	-3
5	10
6	49
7	95
8	83
9	27
10	-90
11	-740
12	-2415
13	-4110
14	-3890
15	-1950
16	-405
17	1320
18	14054
19	64116
20	164059
21	258461
22	257604
23	159070
24	55755
25	8505
26	-23640
27	-318684
28	-1881532
29	-6452300
30	-14294605
31	-21442540
32	-22106669
33	-15496012
34	-7078575
35	-1905120
36	-229635
37	523440
38	8474100
39	61424596

[1, -1, -4, -3, 10, 49, 95, 83, 27, -90, -740, -2415, -4110, -3890, -1950, -405, 1320, 14054, 64116, 164059, 258461, 257604, 159070, 55755, 8505, -23640, -318684, -1881532, -6452300, -14294605, -21442540, -22106669, -15496012, -7078575, -1905120, -229635, 523440, 8474100, 61424596]

cp's OEIS Frontend

A100492 Triangle read by rows giving the coefficients of general sum formulas of n-th Fibonacci numbers (A000045). The k-th row (k>=1) contains T(i,k) for i=1 to 2k-1, where T(i,k) satisfies F(n) = Sum_{k=1..n} Sum_{i=1..2k-1} T(i,k) * C(n-k,i-1) * n^(n-k) / (n-1)!.

Table of values

List of values

cp's OEIS Frontend

A100492 Triangle read by rows giving the coefficients of general sum formulas of n-th Fibonacci numbers (A000045). The k-th row (k>=1) contains T(i,k) for i=1 to 2*k-1, where T(i,k) satisfies F(n) = Sum_{k=1..n} Sum_{i=1..2*k-1} T(i,k) * C(n-k,i-1) * n^(n-k) / (n-1)!.

Table of values

List of values

A100492 Triangle read by rows giving the coefficients of general sum formulas of n-th Fibonacci numbers (A000045). The k-th row (k>=1) contains T(i,k) for i=1 to 2k-1, where T(i,k) satisfies F(n) = Sum_{k=1..n} Sum_{i=1..2k-1} T(i,k) * C(n-k,i-1) * n^(n-k) / (n-1)!.