A144457 - cp's OEIS frontend

A144457 Coefficients of polynomials based on the generalized factorial at k=2 (A001147): b(n)=b(n-1+k; a(n)=b(n)a(n-1); p(x,n)=If[n == 0, 1, a(n - 1)(x - a(n - 1))*Product[x + 1/b(i), {i, 1, n - 1}]].

n	a(n)
1	1
2	-1
3	1
4	-3
5	-8
6	3
7	-15
8	-119
9	-217
10	15
11	-105
12	-1574
13	-7440
14	-10954
15	105
16	-945
17	-22679
18	-194646
19	-702874
20	-892281
21	945
22	-10395
23	-363824
24	-4885615
25	-31288480
26	-94892945
27	-108046896
28	10395
29	-135135
30	-6486479
31	-124999827
32	-1232430275
33	-6521470845
34	-17442096461
35	-18261339153
36	135135

[1, -1, 1, -3, -8, 3, -15, -119, -217, 15, -105, -1574, -7440, -10954, 105, -945, -22679, -194646, -702874, -892281, 945, -10395, -363824, -4885615, -31288480, -94892945, -108046896, 10395, -135135, -6486479, -124999827, -1232430275, -6521470845, -17442096461, -18261339153, 135135]

cp's OEIS Frontend

A144457 Coefficients of polynomials based on the generalized factorial at k=2 (A001147): b(n)=b(n-1+k; a(n)=b(n)a(n-1); p(x,n)=If[n == 0, 1, a(n - 1)(x - a(n - 1))*Product[x + 1/b(i), {i, 1, n - 1}]].

Table of values

List of values

cp's OEIS Frontend

A144457 Coefficients of polynomials based on the generalized factorial at k=2 (A001147): b(n)=b(n-1+k; a(n)=b(n)*a(n-1); p(x,n)=If[n == 0, 1, a(n - 1)*(x - a(n - 1))*Product[x + 1/b(i), {i, 1, n - 1}]].

Table of values

List of values

A144457 Coefficients of polynomials based on the generalized factorial at k=2 (A001147): b(n)=b(n-1+k; a(n)=b(n)a(n-1); p(x,n)=If[n == 0, 1, a(n - 1)(x - a(n - 1))*Product[x + 1/b(i), {i, 1, n - 1}]].