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A269743
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Triangle of generalized Eulerian numbers T(n,k) = <n,k>_3 read by rows, n >= 1, 0 <= k <= 3*(n-1).
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5
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1, 1, 1, 1, 1, 1, 4, 11, 23, 11, 4, 1, 1, 11, 72, 325, 595, 595, 325, 72, 11, 1, 1, 26, 367, 3368, 14679, 34679, 46800, 34679, 14679, 3368, 367, 26, 1, 1, 57, 1630, 28819, 253247, 1212440, 3382133, 5588593, 5588593, 3382133, 1212440, 253247, 28819, 1630, 57, 1
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OFFSET
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1,7
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COMMENTS
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T(n,k) is the number of nonnegative integer n X n matrices with every row and column sum 3 and sum of entries below the main diagonal k. The case when every row and column sum is 1 is given by the Eulerian numbers (A008292). - Andrew Howroyd, Feb 22 2020
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LINKS
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EXAMPLE
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Triangle begins:
1,
1,1,1,1,
1,4,11,23,11,4,1,
1,11,72,325,595,595,325,72,11,1,
...
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PROG
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CROSSREFS
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KEYWORD
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nonn,tabf
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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