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 A250167 T(n,k)=Number of length n+1 0..k arrays with the sum of adjacent differences multiplied by some arrangement of +-1 equal to zero 11
 2, 3, 4, 4, 11, 8, 5, 20, 37, 16, 6, 33, 96, 119, 32, 7, 48, 211, 436, 373, 64, 8, 67, 380, 1269, 1880, 1151, 128, 9, 88, 639, 2860, 7109, 7836, 3517, 256, 10, 113, 976, 5831, 19896, 37881, 32032, 10679, 512, 11, 140, 1437, 10460, 49037, 129648, 195927 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ....2.....3.......4........5.........6..........7..........8...........9 ....4....11......20.......33........48.........67.........88.........113 ....8....37......96......211.......380........639........976........1437 ...16...119.....436.....1269......2860.......5831......10460.......17765 ...32...373....1880.....7109.....19896......49037.....103556......203615 ...64..1151....7836....37881....129648.....380939.....938128.....2121089 ..128..3517...32032...195927....810964....2810751....7989940....20567199 ..256.10679..129572...996933...4962056...20169871...65768448...191480917 ..512.32293..521256..5029417..30034672..142786013..532548628..1748028901 .1024.97391.2091052.25262121.180893724.1004527983.4281269376.15822382297 LINKS R. H. Hardin, Table of n, a(n) for n = 1..263 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) k=2: a(n) = 5*a(n-1) -6*a(n-2) k=3: a(n) = 8*a(n-1) -21*a(n-2) +22*a(n-3) -8*a(n-4) k=4: [order 8] Empirical for row n: n=1: a(n) = n + 1 n=2: a(n) = 2*a(n-1) -2*a(n-3) +a(n-4); also a quadratic polynomial plus a constant quasipolynomial with period 2 n=3: a(n) = 2*a(n-1) +a(n-2) -4*a(n-3) +a(n-4) +2*a(n-5) -a(n-6); also a cubic polynomial plus a linear quasipolynomial with period 2 n=4: [order 12; also a quartic polynomial plus a quadratic quasipolynomial with period 12] n=5: [order 24; also a polynomial of degree 5 plus a cubic quasipolynomialwith period 60] EXAMPLE Some solutions for n=5 k=4 ..3....0....3....4....0....3....4....4....2....4....4....2....0....4....3....1 ..2....0....4....2....0....4....1....4....4....1....3....1....1....2....1....1 ..4....4....0....4....4....2....2....2....4....3....4....3....1....2....3....3 ..0....2....0....1....2....1....3....2....1....0....3....2....3....1....0....4 ..1....2....4....1....3....1....3....3....3....0....0....2....0....4....3....3 ..1....0....3....2....0....1....2....4....0....4....0....2....0....2....3....1 CROSSREFS Column 1 is A000079 Column 2 is A084171 Row 2 is A212959 Sequence in context: A240220 A250229 A250277 * A265534 A214554 A185417 Adjacent sequences: A250164 A250165 A250166 * A250168 A250169 A250170 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 13 2014 STATUS approved

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Last modified September 10 17:26 EDT 2024. Contains 375792 sequences. (Running on oeis4.)