The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A167058 Number of spanning trees in (S_5 + e) X P_n. 1
 3, 945, 221184, 50055705, 11275732875, 2538325278720, 571357349020731, 128606300878893705, 28947814696524275712, 6515821689652895090625, 1466636804229895456081107, 330123137841949620861665280, 74306935243221668928140352051 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 REFERENCES F. Faase, On the number of specific spanning subgraphs of the graphs A X P_n, Ars Combin. 49 (1998), 129-154. LINKS P. Raff, Table of n, a(n) for n = 1..200 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 P. Raff, Spanning Trees in Grid Graphs. P. Raff, Analysis of the Number of Spanning Trees of (S_5 + e) x P_n. Contains sequence, recurrence, generating function, and more. Index entries for linear recurrences with constant coefficients, signature (270, -10529, 95310, -177156, 95310, -10529, 270, -1). FORMULA a(n) = 270 a(n-1) - 10529 a(n-2) + 95310 a(n-3) - 177156 a(n-4) + 95310 a(n-5) - 10529 a(n-6) + 270 a(n-7) - a(n-8) G.f.: -3x(x^6 +45x^5 -793x^4 +793x^2 -45x -1)/ (x^8 -270x^7 +10529x^6 -95310x^5 +177156x^4 -95310x^3 +10529x^2 -270x +1) MATHEMATICA CoefficientList[Series[-3x (x^6+45x^5-793x^4+793x^2-45x-1)/(x^8-270x^7+ 10529x^6-95310x^5+177156x^4-95310x^3+10529x^2-270x+1), {x, 0, 30}], x] (* or *) LinearRecurrence[{270, -10529, 95310, -177156, 95310, -10529, 270, -1}, {0, 3, 945, 221184, 50055705, 11275732875, 2538325278720, 571357349020731}, 30] (* Harvey P. Dale, Nov 22 2021 *) CROSSREFS Sequence in context: A094592 A210768 A332193 * A167067 A324443 A151585 Adjacent sequences:  A167055 A167056 A167057 * A167059 A167060 A167061 KEYWORD nonn AUTHOR STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified January 21 17:55 EST 2022. Contains 350479 sequences. (Running on oeis4.)