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 A003734 Number of spanning trees with degrees 1 and 3 in C_5 X P_2n. 0
 0, 260, 27420, 2504560, 223723080, 19923617840, 1773563554900, 157870122686600, 14052371971981100, 1250831588811052320, 111339169110472830220, 9910535055491682625400, 882157695038695625086700, 78522722964255506997330800, 6989473714324564174042717340 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 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 FORMULA Faase gives a 12-term linear recurrence on his web page: If b(n) denotes the number of spanning trees with degrees 1 and 3 in C_5 X P_n we have: b(1) = 0, b(2) = 0, b(3) = 0, b(4) = 260, b(5) = 0, b(6) = 27420, b(7) = 0, b(8) = 2504560, b(9) = 0, b(10) = 223723080, b(11) = 0, b(12) = 19923617840, b(13) = 0, b(14) = 1773563554900, b(15) = 0, b(16) = 157870122686600, b(17) = 0, b(18) = 14052371971981100, b(19) = 0, b(20) = 1250831588811052320, b(21) = 0, b(22) = 111339169110472830220, b(23) = 0, b(24) = 9910535055491682625400, b(25) = 0, b(26) = 882157695038695625086700, and b(n) = 98b(n-2) - 745b(n-4) - 4916b(n-6) - 234b(n-8) + 160624b(n-10) - 26648b(n-12) + 338976b(n-14) - 1265216b(n-16) - 2291392b(n-18) - 1695488b(n-20) - 307200b(n-22) + 32768b(n-24). CROSSREFS Sequence in context: A168187 A067639 A264162 * A216940 A200578 A200808 Adjacent sequences:  A003731 A003732 A003733 * A003735 A003736 A003737 KEYWORD nonn AUTHOR EXTENSIONS Added recurrence from Faase's web page. - N. J. A. Sloane, Feb 03 2009 More terms from Sean A. Irvine, Jul 29 2015 STATUS approved

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