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A182014
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Number of independent sets of nodes in graph C_7 x P_n (n>=0).
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2
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1, 29, 477, 8303, 143697, 2488431, 43089985, 746156517, 12920616493, 223736359029, 3874270087045, 67087749098875, 1161706844818941, 20116382073294655, 348339884131004417, 6031933298656980345, 104450339960964929961, 1808686034441106749965
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = 17*a(n-1) + 8*a(n-2) - 44*a(n-3) + 5*a(n-4) + a(n-5) with a(0)=1, a(1)=29, a(2)=477, a(3)=8303, a(4)=143697.
G.f.: (x^4+6*x^3-24*x^2+12*x+1)/(-x^5-5*x^4+44*x^3-8*x^2-17*x+1).
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MATHEMATICA
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LinearRecurrence[{17, 8, -44, 5, 1}, {1, 29, 477, 8303, 143697}, 30] (* Harvey P. Dale, Aug 27 2012 *)
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PROG
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(PARI) Vec((x^4+6*x^3-24*x^2+12*x+1)/(-x^5-5*x^4+44*x^3-8*x^2-17*x+1)+O(x^99)) \\ Charles R Greathouse IV, Apr 06 2012
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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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