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A377068
Number of n X 4 0..2 matrices with row sums 4 and column sums n up to permutations of rows.
3
1, 1, 10, 30, 117, 345, 1042, 2746, 7063, 16759, 38440, 83476, 175473, 354105, 694278, 1318222, 2440888, 4402852, 7770908, 13418156, 22734824, 37807500, 61839510, 99526422, 157858478, 246864782, 381087734, 580990046, 875572808, 1304930876, 1924761300, 2810843268
OFFSET
0,3
COMMENTS
Also, the number of n X 4 {-1,0,1} matrices with all rows and columns summing to zero up to permutations of rows.
EXAMPLE
The a(2) = 10 matrices are:
[1 1 2 0] [1 2 1 0] [1 2 0 1] [2 1 1 0] [2 1 0 1] [2 0 1 1]
[1 1 0 2] [1 0 1 2] [1 0 2 1] [0 1 1 2] [0 1 2 1] [0 2 1 1]
.
[1 1 1 1] [2 2 0 0] [2 0 2 0] [2 0 0 2]
[1 1 1 1] [0 0 2 2] [0 2 0 2] [0 2 2 0]
CROSSREFS
Column k=4 of A377063.
Sequence in context: A115134 A245428 A307307 * A185829 A301664 A335803
KEYWORD
nonn
AUTHOR
Andrew Howroyd, Oct 15 2024
STATUS
approved