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A361014
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Triangle read by rows: T(n,k) is the k-th Lie-Betti number of the hypercube graph on 2^(n-1) vertices, n >= 1, k >= 0.
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0
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1, 1, 1, 2, 2, 1, 1, 4, 14, 25, 28, 25, 14, 4, 1, 1, 8, 64, 258, 986, 2870, 6134, 11586, 18830, 23832, 25078, 23832, 18830, 11586, 6134, 2870, 986, 258, 64, 8, 1
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OFFSET
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1,4
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LINKS
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EXAMPLE
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Triangle begins:
k=0 1 2 3 4 5 6 7 8 9 10 11 12 13 14
n=1: 1 1
n=2: 1 2 2 1
n=3: 1 4 14 25 28 25 14 4 1
n=4: 1 8 64 258 986 2870 6134 11586 18830 23832 25078 23832 18830 11586 6134
...
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PROG
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(SageMath) # uses[betti_numbers, LieAlgebraFromGraph from A360571]
if n == 1: return [1, 1]
return betti_numbers(LieAlgebraFromGraph(graphs.CubeGraph(n-1)))
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CROSSREFS
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KEYWORD
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nonn,tabf,more
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AUTHOR
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STATUS
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approved
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