A100344 - cp's OEIS frontend

A100344 Gives the i-th coefficient M(k,i) of the decomposition of the polynomials B(k,X^2) in the basis of all B(i,X), where B(i,X) is the i-th binomial polynomial: B(i,X) = X(X-1)...(X-i+1)/i! for any i > 0 and B(0,X) = 1 by definition.

n	a(n)
0	1
1	0
2	1
3	2
4	0
5	0
6	6
7	18
8	12
9	0
10	0
11	4
12	72
13	248
14	300
15	120
16	0
17	0
18	1
19	123
20	1322
21	4800
22	7800
23	5880
24	1680
25	0
26	0
27	0
28	126
29	3864
30	32550
31	121212
32	235200
33	248640
34	136080
35	30240

[1, 0, 1, 2, 0, 0, 6, 18, 12, 0, 0, 4, 72, 248, 300, 120, 0, 0, 1, 123, 1322, 4800, 7800, 5880, 1680, 0, 0, 0, 126, 3864, 32550, 121212, 235200, 248640, 136080, 30240]

cp's OEIS Frontend

A100344 Gives the i-th coefficient M(k,i) of the decomposition of the polynomials B(k,X^2) in the basis of all B(i,X), where B(i,X) is the i-th binomial polynomial: B(i,X) = X(X-1)...(X-i+1)/i! for any i > 0 and B(0,X) = 1 by definition.

Table of values

List of values