A225350 - cp's OEIS frontend

A225350 Number of 10Xn -1,1 arrays such that the sum over i=1..10,j=1..n of i*x(i,j) is zero, the sum of x(i,j) is zero, and rows are nondecreasing (number of ways to distribute n-across galley oarsmen left-right at 10 fore-aft positions so that there are no turning moments on the ship).

n	a(n)
1	0
2	443
3	0
4	24893
5	0
6	360909
7	0
8	2676331
9	0
10	13280209
11	0
12	50435657
13	0
14	158259755
15	0
16	430394067
17	0
18	1047240813
19	0
20	2331232209
21	0
22	4825180007
23	0
24	9399464741
25	0
26	17394354077
27	0
28	30804515135
29	0
30	52513235123
31	0
32	86584738985
33	0
34	138623327831
35	0

[0, 443, 0, 24893, 0, 360909, 0, 2676331, 0, 13280209, 0, 50435657, 0, 158259755, 0, 430394067, 0, 1047240813, 0, 2331232209, 0, 4825180007, 0, 9399464741, 0, 17394354077, 0, 30804515135, 0, 52513235123, 0, 86584738985, 0, 138623327831, 0]

cp's OEIS Frontend

A225350 Number of 10Xn -1,1 arrays such that the sum over i=1..10,j=1..n of i*x(i,j) is zero, the sum of x(i,j) is zero, and rows are nondecreasing (number of ways to distribute n-across galley oarsmen left-right at 10 fore-aft positions so that there are no turning moments on the ship).

Table of values

List of values