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A092136
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Number of spanning trees in S_5 x P_n.
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1
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1, 189, 24576, 3046869, 375175625, 46151368704, 5676383392121, 698151521972709, 85867005969063936, 10560944392853518125, 1298910307853115410641, 159755407182415993503744, 19648616177810537712940081, 2416620034547514872344613709
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OFFSET
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1,2
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LINKS
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FORMULA
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a(n) = 144*a(n-1) - 2640*a(n-2) + 6930*a(n-3) - 2640*a(n-4) + 144*a(n-5) - a(n-6). [Modified by Paul Raff, Oct 30, 2009]
G.f.: -x*(x^4 + 45*x^3 - 45*x-1)/(x^6 - 144*x^5 + 2640*x^4 - 6930*x^3 + 2640*x^2 - 144*x + 1). - Paul Raff (paul(AT)myraff.com), Mar 07 2009
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MATHEMATICA
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LinearRecurrence[{7, -1}, {0, 1}, 13] LinearRecurrence[{3, -1}, {0, 1}, 13]^3 // Rest (* Jean-François Alcover, Oct 30 2018, after R. J. Mathar *)
LinearRecurrence[{144, -2640, 6930, -2640, 144, -1}, {1, 189, 24576, 3046869, 375175625, 46151368704}, 14] (* Ray Chandler, Feb 28 2024 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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