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 A339199 Number of (undirected) cycles on the n X 5 king graph. 3
 204, 33145, 4847163, 545217435, 61575093671, 7050330616441, 808723201743855, 92672075290059017, 10617254793634907021, 1216460857186123433837, 139377550879455782939427, 15969325570952770252910697, 1829698785056144504575785405, 209639263869115933534540710701 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 LINKS Seiichi Manyama, Table of n, a(n) for n = 2..400 Vaclav Kotesovec, Empirical g.f. Eric Weisstein's World of Mathematics, Graph Cycle Eric Weisstein's World of Mathematics, King Graph PROG (Python) # Using graphillion from graphillion import GraphSet def make_nXk_king_graph(n, k):     grids = []     for i in range(1, k + 1):         for j in range(1, n):             grids.append((i + (j - 1) * k, i + j * k))             if i < k:                 grids.append((i + (j - 1) * k, i + j * k + 1))             if i > 1:                 grids.append((i + (j - 1) * k, i + j * k - 1))     for i in range(1, k * n, k):         for j in range(1, k):             grids.append((i + j - 1, i + j))     return grids def A339098(n, k):     universe = make_nXk_king_graph(n, k)     GraphSet.set_universe(universe)     cycles = GraphSet.cycles()     return cycles.len() def A339199(n):     return A339098(n, 5) print([A339199(n) for n in range(2, 20)]) CROSSREFS Column 5 of A339098. Cf. A339202. Sequence in context: A209790 A348603 A194192 * A263505 A270605 A072573 Adjacent sequences:  A339196 A339197 A339198 * A339200 A339201 A339202 KEYWORD nonn AUTHOR Seiichi Manyama, Nov 27 2020 STATUS approved

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Last modified August 10 13:12 EDT 2022. Contains 356039 sequences. (Running on oeis4.)