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A377066
Number of 4 X n 0..2 matrices with row sums n and column sums 4 up to permutations of rows.
3
1, 1, 3, 12, 117, 1421, 20326, 307063, 4809897, 77098437, 1257981093, 20817768368, 348552520988, 5893520355308, 100492937876761, 1726068011602392, 29836176505279377, 518637160845827153, 9060385447950862705, 158987518980922356784, 2801031979220628009327
OFFSET
0,3
COMMENTS
Also, the number of 4 X n {-1,0,1} matrices with all rows and columns summing to zero up to permutations of rows.
EXAMPLE
The a(2) = 3 matrices are:
[1 1] [2 0] [2 0]
[1 1] [1 1] [2 0]
[1 1] [1 1] [0 2]
[1 1] [0 2] [0 2]
CROSSREFS
Row n=4 of A377063.
Sequence in context: A320257 A350410 A009254 * A133987 A359658 A194506
KEYWORD
nonn
AUTHOR
Andrew Howroyd, Oct 15 2024
STATUS
approved