A251571 - cp's OEIS frontend

A251571 G.f.: M(F(x)) is a power series in x consisting entirely of positive integer coefficients such that M(F(x) - x^k) has negative coefficients for k>0, where M(x) = 1 + xM(x) + xM(x)^2 is the g.f. of the Motzkin numbers A001006.

n	a(n)
0	1
1	1
2	2
3	3
4	4
5	6
6	9
7	13
8	19
9	27
10	39
11	55
12	79
13	113
14	160
15	228
16	322
17	455
18	641
19	902
20	1268
21	1777
22	2490
23	3483
24	4864
25	6791
26	9468
27	13189
28	18358
29	25527
30	35473
31	49248
32	68336
33	94751
34	131288
35	181815
36	251627
37	348051
38	481180
39	664885
40	918285
41	1267663
42	1749212
43	2412635
44	3326303
45	4584236
46	6315428
47	8697260

[1, 1, 2, 3, 4, 6, 9, 13, 19, 27, 39, 55, 79, 113, 160, 228, 322, 455, 641, 902, 1268, 1777, 2490, 3483, 4864, 6791, 9468, 13189, 18358, 25527, 35473, 49248, 68336, 94751, 131288, 181815, 251627, 348051, 481180, 664885, 918285, 1267663, 1749212, 2412635, 3326303, 4584236, 6315428, 8697260]

cp's OEIS Frontend

A251571 G.f.: M(F(x)) is a power series in x consisting entirely of positive integer coefficients such that M(F(x) - x^k) has negative coefficients for k>0, where M(x) = 1 + xM(x) + xM(x)^2 is the g.f. of the Motzkin numbers A001006.

Table of values

List of values

cp's OEIS Frontend

A251571 G.f.: M(F(x)) is a power series in x consisting entirely of positive integer coefficients such that M(F(x) - x^k) has negative coefficients for k>0, where M(x) = 1 + x*M(x) + x*M(x)^2 is the g.f. of the Motzkin numbers A001006.

Table of values

List of values

A251571 G.f.: M(F(x)) is a power series in x consisting entirely of positive integer coefficients such that M(F(x) - x^k) has negative coefficients for k>0, where M(x) = 1 + xM(x) + xM(x)^2 is the g.f. of the Motzkin numbers A001006.