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A373341
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Array read by ascending antidiagonals: A(n,k) is the number of acyclic de Bruijn sequences of order k and alphabet of size n, with k > 0.
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2
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1, 2, 1, 6, 4, 1, 24, 216, 16, 1, 120, 331776, 10077696, 256, 1, 720, 24883200000, 12116574790945106558976, 1023490369077469249536, 65536, 1
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history;
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OFFSET
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1,2
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COMMENTS
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The 7th antidiagonal is too large to be inserted in Data.
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LINKS
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FORMULA
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A(n,k) = (n!)^(n^(k-1)).
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EXAMPLE
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The array begins:
1, 1, 1, ...
2, 4, 16, ...
6, 216, 10077696, ...
24, 331776, 12116574790945106558976, ...
...
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MATHEMATICA
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A[n_, k_]:=(n!)^(n^(k-1)); Table[A[n-k+1, k], {n, 6}, {k, n}]//Flatten
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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