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 A214025 Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths starting at each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 6, n >= 2. 5
 13, 10, 8, 77, 51, 38, 68, 36, 20, 330, 266, 248, 300, 145, 96, 1580, 1381, 1365, 1414, 813, 652, 1402, 596, 432, 7678, 6630, 6357, 6630, 3968, 3192, 6357, 3192, 2828, 35971, 30070, 27638, 30709, 18037, 13744, 27591, 14507, 13851, 26574, 15318, 17846 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 COMMENTS The subset of nodes is contained in the top left-hand quarter of the rectangle and has nodal dimensions floor((n+1)/2) and 3 to capture all geometrically distinct counts. The quarter-rectangle is read by rows. The irregular array of numbers is: ....k......1.....2.....3.....4.....5.....6.....7.....8.....9....10....11....12 ..n ..2.......13....10.....8 ..3.......77....51....38....68....36....20 ..4......330...266...248...300...145....96 ..5.....1580..1381..1365..1414...813...652..1402...596...432 ..6.....7678..6630..6357..6630..3968..3192..6357..3192..2828 ..7....35971.30070.27638.30709.18037.13744.27591.14507.13851.26574.15318.17846 where k indicates the position of the start node in the quarter-rectangle. For each n, the maximum value of k is 3*floor((n+1)/2). Reading this array by rows gives the sequence. LINKS EXAMPLE When n = 2, the number of times (NT) each node in the rectangle is the start node (SN) of a complete non-self-adjacent simple path is SN  0  1  2  3  4  5     6  7  8  9 10 11 NT 13 10  8  8 10 13    13 10  8  8 10 13 To limit duplication, only the top left-hand corner 13 and the 10 and 8 to its right are stored in the sequence, i.e. T(2,1) = 13, T(2,2) = 10 and T(2,3) = 8. CROSSREFS Cf. A213106, A213249, A213375, A213478, A213954, A214022, A214023 Sequence in context: A206609 A281085 A072270 * A240812 A291425 A180864 Adjacent sequences:  A214022 A214023 A214024 * A214026 A214027 A214028 KEYWORD nonn,tabf AUTHOR Christopher Hunt Gribble, Jul 01 2012 STATUS approved

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Last modified January 19 00:40 EST 2020. Contains 331030 sequences. (Running on oeis4.)