A101033 - cp's OEIS frontend

A101033 Triangle read by rows giving the coefficients of general sum formulas of n-th Lucas numbers (A000204). The k-th row (k>=1) contains T(i,k) for i=1 to 2k-1, where T(i,k) satisfies L(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	-2
4	-3
5	2
6	15
7	51
8	65
9	27
10	6
11	-148
12	-945
13	-2292
14	-2776
15	-1680
16	-405
17	24
18	2290
19	19580
20	71965
21	145525
22	175244
23	125950
24	50085
25	8505
26	120
27	-41676
28	-473072
29	-2340400
30	-6676835
31	-12132890
32	-14587261
33	-11619692
34	-5290005
35	-1752030
36	-229635
37	720
38	943908
39	13132532
40	81977672
41	303352938
42	740797855

[1, 1, -2, -3, 2, 15, 51, 65, 27, 6, -148, -945, -2292, -2776, -1680, -405, 24, 2290, 19580, 71965, 145525, 175244, 125950, 50085, 8505, 120, -41676, -473072, -2340400, -6676835, -12132890, -14587261, -11619692, -5290005, -1752030, -229635, 720, 943908, 13132532, 81977672, 303352938, 740797855]

cp's OEIS Frontend

A101033 Triangle read by rows giving the coefficients of general sum formulas of n-th Lucas numbers (A000204). The k-th row (k>=1) contains T(i,k) for i=1 to 2k-1, where T(i,k) satisfies L(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

A101033 Triangle read by rows giving the coefficients of general sum formulas of n-th Lucas numbers (A000204). The k-th row (k>=1) contains T(i,k) for i=1 to 2*k-1, where T(i,k) satisfies L(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

A101033 Triangle read by rows giving the coefficients of general sum formulas of n-th Lucas numbers (A000204). The k-th row (k>=1) contains T(i,k) for i=1 to 2k-1, where T(i,k) satisfies L(n) = Sum_{k=1..n} Sum_{i=1..2k-1} T(i,k) * C(n-k,i-1) * n^(n-k) / (n-1)!.