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 A214042 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 9, n >= 2. 2
 55, 36, 24, 18, 16, 732, 476, 294, 197, 168, 628, 302, 148, 82, 64, 6115, 4840, 3979, 3349, 3076, 5170, 2597, 1718, 1595, 1564, 64904, 57210, 52820, 46787, 43294, 53478, 31544, 26459, 28472, 28700, 50228, 22432, 19802, 27924, 30696 (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 5 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....13....14....15 .n .2......55....36....24....18....16 .3.....732...476...294...197...168...628...302...148....82....64 .4....6115..4840..3979..3349..3076..5170..2597..1718..1595..1564 .5...64904.57210.52820.46787.43294.53478.31544.26459.28472.28700.50228.22432.19802.27924.30696 where k indicates the position of the start node in the quarter-rectangle. For each n, the maximum value of k is 5*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 12 13 14 15 16 17 NT 55 36 24 18 16 18 24 36 55    55 36 24 18 16 18 24 36 55 To limit duplication, only the top left-hand corner 34 and the 23, 16 and 13 to its right are stored in the sequence, i.e. T(2,1) = 34, T(2,2) = 23, T(2,3) = 16 and T(2,4) = 13. CROSSREFS Cf. A213106, A213249, A213426, A213478, A213954, A214022, A214023, A214025, A214037, A214038 Sequence in context: A178509 A033375 A236416 * A112892 A232653 A291502 Adjacent sequences:  A214039 A214040 A214041 * A214043 A214044 A214045 KEYWORD nonn,tabf AUTHOR Christopher Hunt Gribble, Jul 01 2012 EXTENSIONS Comment corrected by Christopher Hunt Gribble, Jul 22 2012 STATUS approved

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Last modified October 26 06:11 EDT 2020. Contains 338027 sequences. (Running on oeis4.)