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 A253129 T(n,k)=Number of length n+2 0..k arrays with the sum of medians of adjacent triples multiplied by some arrangement of +-1 equal to zero 14
 4, 7, 12, 10, 53, 16, 13, 152, 90, 40, 16, 345, 281, 393, 64, 19, 676, 673, 2058, 952, 144, 22, 1197, 1356, 7257, 6515, 3323, 256, 25, 1968, 2452, 19990, 28428, 32166, 9205, 544, 28, 3057, 4083, 46945, 92041, 184145, 119317, 29445, 1024, 31, 4540, 6409, 98124 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ....4......7......10........13.........16.........19..........22...........25 ...12.....53.....152.......345........676.......1197........1968.........3057 ...16.....90.....281.......673.......1356.......2452........4083.........6409 ...40....393....2058......7257......19990......46945.......98124.......187593 ...64....952....6515.....28428......92041.....246003......570578......1191085 ..144...3323...32166....184145.....764836....2521335.....7036012.....17264207 ..256...9205..119317....866944....4373134...16987236....54817908....153203700 ..544..29445..517390...4737473...29088446..134079743...503679532...1613885479 .1024..85717.2015982..23297196..172527610..932611547..4023378619..14596031060 .2112.264455.8326770.120376601.1072084446.6789960255.33615995160.137794713707 LINKS R. H. Hardin, Table of n, a(n) for n = 1..221 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) +2*a(n-2) -4*a(n-3) k=2: [order 16] k=3: [order 63] for n>64 Empirical for row n: n=1: a(n) = 3*n + 1 n=2: a(n) = (1/3)*n^4 + (8/3)*n^3 + (14/3)*n^2 + (10/3)*n + 1 n=3: a(n) = 3*a(n-1) -a(n-2) -5*a(n-3) +5*a(n-4) +a(n-5) -3*a(n-6) +a(n-7) n=4: [order 15] Empirical quasipolynomials for row n: n=3: polynomial of degree 4 plus a quasipolynomial of degree 1 with period 2 n=4: polynomial of degree 6 plus a quasipolynomial of degree 3 with period 3 EXAMPLE Some solutions for n=5 k=4 ..4....1....4....2....1....1....2....0....1....3....1....3....0....0....1....0 ..3....2....4....0....3....3....1....0....1....4....2....1....0....2....3....0 ..0....4....2....3....4....0....1....4....1....3....1....4....4....1....1....3 ..3....1....2....4....0....0....0....3....0....1....4....2....3....3....1....1 ..2....2....1....1....2....3....1....3....1....0....4....1....0....3....4....1 ..1....0....1....3....3....4....0....1....0....2....0....4....2....4....1....2 ..4....1....0....0....0....4....2....4....2....4....3....0....4....2....4....0 CROSSREFS Row 1 is A016777 Sequence in context: A072732 A270684 A083487 * A249918 A340244 A158937 Adjacent sequences: A253126 A253127 A253128 * A253130 A253131 A253132 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 27 2014 STATUS approved

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Last modified May 21 02:29 EDT 2024. Contains 372720 sequences. (Running on oeis4.)