A375720 - cp's OEIS frontend

A375720 Irregular triangle, read by rows: Coefficients of the polynomials P_n, n>=2 such that the series f(x) = c + c(x-c) + Sum_{n>=2} P_n(c)/c^((n-1)*(n+2)/2+1) (x-c)^n/n! satisfies f(c) = c and f'(f(x)) = x near the fixed point c in (0,oo).

n	a(n)
2	1
3	-1
4	1
5	3
6	-1
7	-3
8	-10
9	-15
10	1
11	3
12	10
13	30
14	55
15	105
16	105
17	-1
18	-3
19	-10
20	-30
21	-76
22	-168
23	-350
24	-630
25	-910
26	-1260
27	-945
28	1
29	3
30	10
31	30
32	76
33	196
34	434
35	910
36	1806
37	3381
38	5789
39	9135
40	12880
41	15750
42	17325
43	10395
44	-1
45	-3
46	-10
47	-30
48	-76
49	-196
50	-470
51	-1018
52	-2166
53	-4461
54	-8609
55	-16065
56	-28336
57	-48006
58	-78519
59	-120960
60	-172200
61	-228375
62	-275275
63	-294525
64	-270270
65	-135135

[1, -1, 1, 3, -1, -3, -10, -15, 1, 3, 10, 30, 55, 105, 105, -1, -3, -10, -30, -76, -168, -350, -630, -910, -1260, -945, 1, 3, 10, 30, 76, 196, 434, 910, 1806, 3381, 5789, 9135, 12880, 15750, 17325, 10395, -1, -3, -10, -30, -76, -196, -470, -1018, -2166, -4461, -8609, -16065, -28336, -48006, -78519, -120960, -172200, -228375, -275275, -294525, -270270, -135135]

cp's OEIS Frontend

A375720 Irregular triangle, read by rows: Coefficients of the polynomials P_n, n>=2 such that the series f(x) = c + c(x-c) + Sum_{n>=2} P_n(c)/c^((n-1)*(n+2)/2+1) (x-c)^n/n! satisfies f(c) = c and f'(f(x)) = x near the fixed point c in (0,oo).

Table of values

List of values