A156222 - cp's OEIS frontend

A156222 Triangle T(n, k, q) = q^kQ(k, n, q), with T(0, 0, q) = -2, where Q(k, n, q) = (1/q)( -Q(k-1, n, q) + (1+q)p(q, k-1)^n), Q(k, 0, q) = -q(1+q)^n, p(q, n) = Product_{j=1..n} ( (1-q^k)/(1-q) ), and q = 2, read by rows.

n	a(n)
0	-2
1	-6
2	9
3	-18
4	21
5	-15
6	-54
7	57
8	-51
9	375
10	-162
11	165
12	-159
13	1131
14	4666413
15	-486
16	489
17	-483
18	3399
19	98015025
20	148865383434975
21	-1458
22	1461
23	-1455
24	10203
25	2058376701
26	46892624598373299
27	83234757492356072395126701

[-2, -6, 9, -18, 21, -15, -54, 57, -51, 375, -162, 165, -159, 1131, 4666413, -486, 489, -483, 3399, 98015025, 148865383434975, -1458, 1461, -1455, 10203, 2058376701, 46892624598373299, 83234757492356072395126701]

cp's OEIS Frontend

A156222 Triangle T(n, k, q) = q^kQ(k, n, q), with T(0, 0, q) = -2, where Q(k, n, q) = (1/q)( -Q(k-1, n, q) + (1+q)p(q, k-1)^n), Q(k, 0, q) = -q(1+q)^n, p(q, n) = Product_{j=1..n} ( (1-q^k)/(1-q) ), and q = 2, read by rows.

Table of values

List of values

cp's OEIS Frontend

A156222 Triangle T(n, k, q) = q^k*Q(k, n, q), with T(0, 0, q) = -2, where Q(k, n, q) = (1/q)*( -Q(k-1, n, q) + (1+q)*p(q, k-1)^n), Q(k, 0, q) = -q*(1+q)^n, p(q, n) = Product_{j=1..n} ( (1-q^k)/(1-q) ), and q = 2, read by rows.

Table of values

List of values

A156222 Triangle T(n, k, q) = q^kQ(k, n, q), with T(0, 0, q) = -2, where Q(k, n, q) = (1/q)( -Q(k-1, n, q) + (1+q)p(q, k-1)^n), Q(k, 0, q) = -q(1+q)^n, p(q, n) = Product_{j=1..n} ( (1-q^k)/(1-q) ), and q = 2, read by rows.