A087107 - cp's OEIS frontend

A087107 This table shows the coefficients of combinatorial formulas needed for generating the sequential sums of p-th powers of tetrahedral numbers. The p-th row (p>=1) contains a(i,p) for i=1 to 3p-2, where a(i,p) satisfies Sum_{i=1..n} C(i+2,3)^p = 4 C(n+3,4) * Sum_{i=1..3p-2} a(i,p) C(n-1,i-1)/(i+3).

n	a(n)
1	1
2	1
3	3
4	3
5	1
6	1
7	15
8	69
9	147
10	162
11	90
12	20
13	1
14	63
15	873
16	5191
17	16620
18	31560
19	36750
20	25830
21	10080
22	1680
23	1
24	255
25	9489
26	130767
27	919602
28	3832650
29	10238000
30	18244380
31	21990360
32	17745000
33	9198000
34	2772000
35	369600
36	1
37	1023
38	97953
39	2903071
40	40317780

[1, 1, 3, 3, 1, 1, 15, 69, 147, 162, 90, 20, 1, 63, 873, 5191, 16620, 31560, 36750, 25830, 10080, 1680, 1, 255, 9489, 130767, 919602, 3832650, 10238000, 18244380, 21990360, 17745000, 9198000, 2772000, 369600, 1, 1023, 97953, 2903071, 40317780]

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Table of values

List of values