A152474 - cp's OEIS frontend

A152474 Triangle T(n,k) read by rows: Sum_{k=0..binomial(n,2)} T(n,k)q^k = n!Sum_{pi} faq(n,q)/Product_{i=1..n} e(i)!faq(i,q)^e(i), where pi runs over all nonnegative integer solutions to e(1) + 2e(2) + ... + n*e(n) = n and faq(i,q) = Product_{j=1..i} (q^j-1)/(q-1), i = 1..n.

n	a(n)
0	1
1	1
2	3
3	1
4	13
5	8
6	8
7	1
8	73
9	63
10	89
11	78
12	41
13	15
14	1
15	501
16	544
17	909
18	1095
19	1200
20	842
21	680
22	315
23	129
24	24
25	1
26	4051
27	5225
28	9734
29	13799
30	18709
31	20441
32	20520
33	18101
34	14831
35	10200
36	5891
37	3199
38	1109
39	314
40	35
41	1
42	37633
43	55656
44	112370
45	177457
46	270746
47	352969
48	442897

[1, 1, 3, 1, 13, 8, 8, 1, 73, 63, 89, 78, 41, 15, 1, 501, 544, 909, 1095, 1200, 842, 680, 315, 129, 24, 1, 4051, 5225, 9734, 13799, 18709, 20441, 20520, 18101, 14831, 10200, 5891, 3199, 1109, 314, 35, 1, 37633, 55656, 112370, 177457, 270746, 352969, 442897]

cp's OEIS Frontend

A152474 Triangle T(n,k) read by rows: Sum_{k=0..binomial(n,2)} T(n,k)q^k = n!Sum_{pi} faq(n,q)/Product_{i=1..n} e(i)!faq(i,q)^e(i), where pi runs over all nonnegative integer solutions to e(1) + 2e(2) + ... + n*e(n) = n and faq(i,q) = Product_{j=1..i} (q^j-1)/(q-1), i = 1..n.

Table of values

List of values

cp's OEIS Frontend

A152474 Triangle T(n,k) read by rows: Sum_{k=0..binomial(n,2)} T(n,k)*q^k = n!*Sum_{pi} faq(n,q)/Product_{i=1..n} e(i)!*faq(i,q)^e(i), where pi runs over all nonnegative integer solutions to e(1) + 2*e(2) + ... + n*e(n) = n and faq(i,q) = Product_{j=1..i} (q^j-1)/(q-1), i = 1..n.

Table of values

List of values

A152474 Triangle T(n,k) read by rows: Sum_{k=0..binomial(n,2)} T(n,k)q^k = n!Sum_{pi} faq(n,q)/Product_{i=1..n} e(i)!faq(i,q)^e(i), where pi runs over all nonnegative integer solutions to e(1) + 2e(2) + ... + n*e(n) = n and faq(i,q) = Product_{j=1..i} (q^j-1)/(q-1), i = 1..n.