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 A252177 T(n,k)=Number of length n+2 0..k arrays with the sum of the maximum minus the minimum of adjacent triples multiplied by some arrangement of +-1 equal to zero 13
 2, 3, 12, 4, 49, 12, 5, 132, 83, 40, 6, 285, 264, 369, 56, 7, 536, 687, 1872, 957, 144, 8, 917, 1428, 6361, 6820, 3217, 240, 9, 1464, 2729, 17092, 30315, 31420, 9295, 544, 10, 2217, 4680, 39109, 100894, 179225, 123826, 28977, 992, 11, 3220, 7661, 79672 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ....2......3.......4.........5..........6..........7...........8............9 ...12.....49.....132.......285........536........917........1464.........2217 ...12.....83.....264.......687.......1428.......2729........4680.........7661 ...40....369....1872......6361......17092......39109.......79672.......148673 ...56....957....6820.....30315.....100894.....277101......654644......1397115 ..144...3217...31420....179225.....753200....2485637.....6994984.....17238485 ..240...9295..123826....907249....4652710...18231947....59838132....169267931 ..544..28977..515268...4728833...29364176..135424961...513937352...1653595049 ..992..86267.2058802..23847033..177955614..963247737..4190189694..15244143115 .2112.262541.8332796.120644221.1080135428.6838373877.34020988396.139530739057 LINKS R. H. Hardin, Table of n, a(n) for n = 1..181 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) +2*a(n-2) -4*a(n-3) k=2: [order 14] k=3: [order 39] for n>40 Empirical for row n: n=1: a(n) = n + 1 n=2: a(n) = (1/6)*n^4 + (7/3)*n^3 + (29/6)*n^2 + (11/3)*n + 1 n=3: a(n) = 3*a(n-1) -8*a(n-3) +6*a(n-4) +6*a(n-5) -8*a(n-6) +3*a(n-8) -a(n-9); also a polynomial of degree 5 plus a quasipolynomial of degree 2 with period 2 n=4: [linear recurrence of order 23; also a polynomial of degree 6 plus a quasipolynomial of degree 3 with period 12] EXAMPLE Some solutions for n=5 k=4 ..0....0....2....1....1....1....1....3....3....2....2....2....1....3....0....4 ..3....2....1....2....0....1....0....4....4....3....2....2....3....0....2....2 ..3....3....4....3....2....2....1....1....4....3....3....4....2....2....3....3 ..3....0....0....3....4....2....0....3....4....2....1....3....2....4....4....4 ..0....1....3....0....1....3....1....1....1....4....0....2....2....3....2....0 ..0....2....1....3....2....3....3....2....1....0....2....3....4....0....2....4 ..3....2....2....1....3....1....1....0....2....1....4....2....1....0....1....0 CROSSREFS Column 1 is A251421 Sequence in context: A223524 A046207 A030611 * A214011 A081369 A147967 Adjacent sequences:  A252174 A252175 A252176 * A252178 A252179 A252180 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 15 2014 STATUS approved

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Last modified November 19 02:01 EST 2018. Contains 317332 sequences. (Running on oeis4.)