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A362007
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Fourth Lie-Betti number of a path graph on n vertices.
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3
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0, 0, 3, 16, 48, 107, 203, 347, 551, 828, 1192, 1658, 2242, 2961, 3833, 4877, 6113, 7562, 9246, 11188, 13412, 15943, 18807, 22031, 25643, 29672, 34148, 39102, 44566, 50573, 57157, 64353, 72197, 80726, 89978, 99992, 110808
(list;
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refs;
listen;
history;
text;
internal format)
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OFFSET
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1,3
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COMMENTS
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LINKS
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Eric Weisstein's World of Mathematics, Path Graph.
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FORMULA
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a(1) = a(2) = 0, a(3) = 3, a(n) = (n^4 + 18*n^3 - 97*n^2 + 174*n - 168)/24 for n >= 4.
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PROG
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(Python)
values = [0, 0, 3]
for i in range(4, n+1):
result = (i**4 + 18*i**3 - 97*i**2 + 174*i - 168)/24
values.append(int(result))
return values
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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