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 A214601 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 6, n >= 2. 3
 68, 70, 70, 418, 472, 479, 470, 524, 452, 2401, 3013, 3312, 3043, 2844, 2375, 13344, 18302, 21307, 18726, 17364, 15275, 21050, 15896, 11148, 68230, 98032, 117197, 98032, 95942, 89083, 117197, 89083, 64506, 335569, 494659, 599448, 482769, 488710, 463257, 577787, 465142, 353704, 600124, 458850, 341918 (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.......68.....70.....70 .3......418....472....479....470....524....452 .4.....2401...3013...3312...3043...2844...2375 .5....13344..18302..21307..18726..17364..15275..21050..15896..11148 .6....68230..98032.117197..98032..95942..89083.117197..89083..64506 .7...335569.494659.599448.482769.488710.463257.577787.465142.353704.600124.458850.341918 where k indicates the position of a 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 (N) occurs in a complete non-self-adjacent simple path is N   0  1  2  3  4  5     6  7  8  9 10 11 NT 68 70 70 70 70 68    68 70 70 70 70 68 To limit duplication, only the top left-hand corner 68 and the two 70's to its right are stored in the sequence, i.e. T(2,1) = 68, T(2,2) = 70 and T(2,3) = 70. CROSSREFS Cf. A213106, A213249, A213379, A214025, A213070, A214397, A214399, A214504, A214510, A214563 Sequence in context: A090493 A259081 A143737 * A043595 A043828 A043836 Adjacent sequences:  A214598 A214599 A214600 * A214602 A214603 A214604 KEYWORD nonn,tabf AUTHOR Christopher Hunt Gribble, Jul 22 2012 STATUS approved

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