A193718 - cp's OEIS frontend

A193718 Let F(x) = 1 + 1x + 4x^2 + 10x^3 + ..., the g.f. for A000293 (solid partitions), and write F(x) = 1/Product_{n>=1} E(n)^a(n) where E(n) = Product_{k>=n} (1 - x^(nk)).

n	a(n)
0	1
1	2
2	5
3	7
4	14
5	12
6	25
7	24
8	40
9	51
10	96
11	93
12	111
13	-5
14	-206
15	-530
16	-736
17	-591
18	778
19	3819
20	9292
21	16373
22	23055
23	23706
24	10101
25	-31727
26	-120766
27	-283232
28	-548925
29	-932041
30	-1380126
31	-1654576
32	-1144753
33	1386362
34	7943163
35	21084398
36	42787784
37	71815410
38	98995079
39	100388956
40	29623770
41	-187442482
42	-648478235
43	-1449118398
44	-2615085854
45	-3963369427
46	-4855203952
47	-3819950381
48	1908741941
49	16724652946

[1, 2, 5, 7, 14, 12, 25, 24, 40, 51, 96, 93, 111, -5, -206, -530, -736, -591, 778, 3819, 9292, 16373, 23055, 23706, 10101, -31727, -120766, -283232, -548925, -932041, -1380126, -1654576, -1144753, 1386362, 7943163, 21084398, 42787784, 71815410, 98995079, 100388956, 29623770, -187442482, -648478235, -1449118398, -2615085854, -3963369427, -4855203952, -3819950381, 1908741941, 16724652946]

cp's OEIS Frontend

A193718 Let F(x) = 1 + 1x + 4x^2 + 10x^3 + ..., the g.f. for A000293 (solid partitions), and write F(x) = 1/Product_{n>=1} E(n)^a(n) where E(n) = Product_{k>=n} (1 - x^(nk)).

Table of values

List of values

cp's OEIS Frontend

A193718 Let F(x) = 1 + 1*x + 4*x^2 + 10*x^3 + ..., the g.f. for A000293 (solid partitions), and write F(x) = 1/Product_{n>=1} E(n)^a(n) where E(n) = Product_{k>=n} (1 - x^(n*k)).

Table of values

List of values

A193718 Let F(x) = 1 + 1x + 4x^2 + 10x^3 + ..., the g.f. for A000293 (solid partitions), and write F(x) = 1/Product_{n>=1} E(n)^a(n) where E(n) = Product_{k>=n} (1 - x^(nk)).