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 A250646 T(n,k)=Number of length n+1 0..k arrays with the sum of the maximum of each adjacent pair multiplied by some arrangement of +-1 equal to zero 12
 1, 1, 6, 1, 17, 6, 1, 36, 23, 20, 1, 65, 44, 125, 28, 1, 106, 89, 476, 280, 72, 1, 161, 134, 1293, 1424, 1061, 120, 1, 232, 219, 2954, 4853, 7696, 2870, 272, 1, 321, 296, 5901, 12473, 34441, 28238, 9495, 496, 1, 430, 433, 10766, 28379, 120114, 163043, 126482 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Table starts ......1.........1............1.............1...............1...............1 ......6........17...........36............65.............106.............161 ......6........23...........44............89.............134.............219 .....20.......125..........476..........1293............2954............5901 .....28.......280.........1424..........4853...........12473...........28379 .....72......1061.........7696.........34441..........120114..........332827 ....120......2870........28238........163043..........677505.........2225195 ....272......9495.......126482........915663.........4749950........18399217 ....496.....27507.......491943.......4537317........28200435.......129137886 ...1056.....86149......2059700......23671551.......177863786.......953809557 ...2016....255704......8161068.....118358549......1063874048......6704767056 ...4160....782393.....33268124.....601565301......6491819162.....47777146765 ...8128...2341381....132637221....3011330309.....38892883673....335147823244 ..16512...7090347....534771362...15155615651....234724691398...2360792885729 ..32640..21271463...2136620867...75845220727...1407192408230..16540740396740 ..65792..64109181...8574987528..380253505733...8460554956974.116054610957529 .130816.192439733..34285733053.1902264449049..50741165814612.812699929957712 .262656.578665211.137334914170.9522274036139.304671802762820 LINKS R. H. Hardin, Table of n, a(n) for n = 1..267 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) +2*a(n-2) -4*a(n-3) k=2: [order 10] k=3: [order 24] for n>25 Empirical for row n: n=1: a(n) = a(n-1) n=2: a(n) = (1/3)*n^3 + 2*n^2 + (8/3)*n + 1 n=3: a(n) = a(n-1) +3*a(n-2) -3*a(n-3) -3*a(n-4) +3*a(n-5) +a(n-6) -a(n-7); also a polynomial of degree 3 plus a quasipolynomial of degree 2 with period 2 n=4: [order 14; also a polynomial of degree 5 plus a quasipolynomial of degree 2 with period 6] n=5: [order 25; also a polynomial of degree 5 plus a quasipolynomial of degree 4 with period 12] EXAMPLE Some solutions for n=5 k=4 ..4....2....1....4....0....1....1....2....0....2....1....2....2....4....4....3 ..1....1....1....1....2....2....0....2....0....1....0....1....2....0....1....3 ..1....0....1....1....2....0....0....1....1....0....2....0....2....2....0....1 ..0....1....0....0....0....0....1....1....2....4....3....4....1....3....2....2 ..1....1....1....3....1....4....3....0....1....3....3....3....1....0....1....4 ..3....0....4....3....3....3....3....0....0....2....0....3....3....2....0....4 CROSSREFS Column 1 is A113979(n+2) Row 2 is A084990(n+1) Sequence in context: A278863 A281413 A049325 * A277068 A369904 A373573 Adjacent sequences: A250643 A250644 A250645 * A250647 A250648 A250649 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 26 2014 STATUS approved

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Last modified September 17 18:39 EDT 2024. Contains 375990 sequences. (Running on oeis4.)