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A353029
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Number of copies of the star graph S(2,2,2) contained in the n-dimensional hypercube graph.
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1
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0, 0, 16, 1152, 16640, 140800, 887040, 4616192, 20987904, 86261760, 327782400, 1169653760, 3964207104, 12869828608, 40285306880, 122211532800, 360794030080, 1040028008448, 2935426646016, 8130951905280, 22146344550400, 59411980615680, 157208570494976
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OFFSET
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1,3
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COMMENTS
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S(2,2,2) is the star graph with three legs of length two.
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LINKS
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FORMULA
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a(n) = 2^n*C(n,3)*((n-1)^3 - 3*(n-1)).
G.f.: 16*x^3*(1 + 58*x + 116*x^2 + 8*x^3)/(1 - 2*x)^7. - Stefano Spezia, Apr 20 2022
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PROG
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(Python) from math import comb
def a(n):
return (2**n)*comb(n, 3)*((n-1)**3-3*(n-1))
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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