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 A003756 Number of spanning trees with degrees 1 and 3 in S_4 X P_{2n-1}. 0
 1, 0, 24, 54, 492, 1944, 11976, 57024, 313440, 1587168, 8417472, 43483392, 227995008, 1185394176, 6192642048, 32263570944, 168350991360, 877689686016, 4578049517568, 23872537976832, 124504626978816, 649282059657216, 3386128302882816, 17658788068196352 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 REFERENCES F. Faase, On the number of specific spanning subgraphs of the graphs G X P_n, Ars Combin. 49 (1998), 129-154. LINKS F. Faase, On the number of specific spanning subgraphs of the graphs G X P_n, Preliminary version of paper that appeared in Ars Combin. 49 (1998), 129-154. F. Faase, Results from the counting program Index entries for linear recurrences with constant coefficients, signature (2, 16, 4). FORMULA a(n) = 2*a(n-1) + 16*a(n-2) + 4*a(n-3), n > 4. G.f.: x*(1 + 8*x^2 + 2*x^3 - 2*x)/(1 - 2*x - 16*x^2 - 4*x^3). - R. J. Mathar, Dec 16 2008 MATHEMATICA Join[{1, 0}, LinearRecurrence[{2, 16, 4}, {24, 54, 492}, 20]] (* Harvey P. Dale, Mar 17 2013 *) CROSSREFS Sequence in context: A234238 A228876 A005782 * A135191 A216697 A316361 Adjacent sequences:  A003753 A003754 A003755 * A003757 A003758 A003759 KEYWORD nonn,easy AUTHOR Frans J. Faase; corrections Feb 07 2009 STATUS approved

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Last modified December 11 07:35 EST 2019. Contains 329914 sequences. (Running on oeis4.)