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A295911
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Number of (not necessarily maximal) cliques in the n-Hanoi graph.
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0
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8, 25, 76, 229, 688, 2065, 6196, 18589, 55768, 167305, 501916, 1505749, 4517248, 13551745, 40655236, 121965709, 365897128, 1097691385, 3293074156, 9879222469, 29637667408, 88913002225, 266739006676, 800217020029, 2400651060088, 7201953180265
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history;
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OFFSET
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1,1
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LINKS
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Eric Weisstein's World of Mathematics, Clique
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FORMULA
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a(n) = (17*3^n - 3)/6.
a(n) = 4*a(n-1) - 3*a(n-2).
G.f.: (8 - 7*x)*x/(1 - 4*x + 3*x^2).
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MATHEMATICA
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Table[(17 3^n - 3)/6, {n, 20}]
LinearRecurrence[{4, -3}, {8, 25}, 20]
CoefficientList[Series[(8 - 7 x)/(1 - 4 x + 3 x^2), {x, 0, 20}], x]
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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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