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 A214510 Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths incorporating each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 4, n >= 2. 5
 23, 24, 80, 86, 88, 100, 264, 303, 303, 282, 820, 1008, 1007, 907, 1058, 776, 2401, 3043, 3013, 2844, 3312, 2375, 6751, 8651, 8562, 8317, 9411, 7116, 9718, 6882, 18630, 24035, 23979, 23261, 26077, 20216, 26479, 20016, 50775, 65977, 66474, 63790, 72137, 55400, 71469, 55907, 69764, 57274 (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 2 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 .n .2......23....24 .3......80....86....88...100 .4.....264...303...303...282 .5.....820..1008..1007...907..1058...776 .6....2401..3043..3013..2844..3312..2375 .7....6751..8651..8562..8317..9411..7116..9718..6882 .8...18630.24035.23979.23261.26077.20216.26479.20016 .9...50775.65977.66474.63790.72137.55400.71469.55907.69764.57274 where k indicates the position of a node in the quarter-rectangle. For each n, the maximum value of k is 2*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 (N) occurs in a complete non-self-adjacent simple path is N   0  1  2  3     4  5  6  7 NT 23 24 24 23    23 24 24 23 To limit duplication, only the top left-hand corner 23 and the 24 to its right are stored in the sequence, i.e. T(2,1) = 23 and T(2,2) = 24. CROSSREFS Cf. A213106, A213249, A213342, A214022, A214122, A214397, A214399, A214504 Sequence in context: A042080 A042076 A042074 * A042084 A042082 A042088 Adjacent sequences:  A214507 A214508 A214509 * A214511 A214512 A214513 KEYWORD nonn,tabf AUTHOR Christopher Hunt Gribble, Jul 19 2012 EXTENSIONS Comment corrected by Christopher Hunt Gribble, Jul 22 2012 STATUS approved

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Last modified April 24 19:49 EDT 2019. Contains 322446 sequences. (Running on oeis4.)