A357542 - cp's OEIS frontend

A357542 Coefficients T(n,k) of x^(3n)r^(3k)/(3n)! in power series D(x,r) = 1 + r^3 * Integral S(x,r)^2 * D(x,r)^2 dx such that C(x,r)^3 - S(x,r)^3 = 1 and D(x,r)^3 - r^3*S(x,r)^3 = 1, as a triangle read by rows.

n	a(n)
0	1
1	0
2	2
3	0
4	120
5	40
6	0
7	21600
8	37440
9	3680
10	0
11	8553600
12	38966400
13	20592000
14	880000
15	0
16	6329664000
17	57708288000
18	79491456000
19	19269888000
20	435776000
21	0
22	7852204800000
23	123646051584000
24	335872728576000
25	213892766208000
26	28748332800000
27	386949376000
28	0
29	15132769090560000
30	374841224017920000
31	1730103155573760000
32	2169194182594560000
33	774705298498560000
34	64544356546560000
35	560034421760000

[1, 0, 2, 0, 120, 40, 0, 21600, 37440, 3680, 0, 8553600, 38966400, 20592000, 880000, 0, 6329664000, 57708288000, 79491456000, 19269888000, 435776000, 0, 7852204800000, 123646051584000, 335872728576000, 213892766208000, 28748332800000, 386949376000, 0, 15132769090560000, 374841224017920000, 1730103155573760000, 2169194182594560000, 774705298498560000, 64544356546560000, 560034421760000]

cp's OEIS Frontend

A357542 Coefficients T(n,k) of x^(3n)r^(3k)/(3n)! in power series D(x,r) = 1 + r^3 * Integral S(x,r)^2 * D(x,r)^2 dx such that C(x,r)^3 - S(x,r)^3 = 1 and D(x,r)^3 - r^3*S(x,r)^3 = 1, as a triangle read by rows.

Table of values

List of values

cp's OEIS Frontend

A357542 Coefficients T(n,k) of x^(3*n)*r^(3*k)/(3*n)! in power series D(x,r) = 1 + r^3 * Integral S(x,r)^2 * D(x,r)^2 dx such that C(x,r)^3 - S(x,r)^3 = 1 and D(x,r)^3 - r^3*S(x,r)^3 = 1, as a triangle read by rows.

Table of values

List of values

A357542 Coefficients T(n,k) of x^(3n)r^(3k)/(3n)! in power series D(x,r) = 1 + r^3 * Integral S(x,r)^2 * D(x,r)^2 dx such that C(x,r)^3 - S(x,r)^3 = 1 and D(x,r)^3 - r^3*S(x,r)^3 = 1, as a triangle read by rows.