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 A250229 T(n,k)=Number of length n+1 0..k arrays with the sum of the cubes of adjacent differences multiplied by some arrangement of +-1 equal to zero. 12
 2, 3, 4, 4, 11, 8, 5, 20, 27, 16, 6, 33, 52, 79, 32, 7, 48, 89, 208, 223, 64, 8, 67, 132, 473, 704, 651, 128, 9, 88, 187, 872, 1785, 2720, 1907, 256, 10, 113, 248, 1519, 3496, 9437, 10952, 5639, 512, 11, 140, 321, 2392, 6367, 24888, 47953, 45888, 16967, 1024, 12, 171 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 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) k=2: [linear recurrence of order 9] for n>12 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) -2*a(n-3) +a(n-4); also a quadratic polynomial plus a constant quasipolynomial with period 2 EXAMPLE Table starts ....2.....3......4.......5........6.........7.........8..........9.........10 ....4....11.....20......33.......48........67........88........113........140 ....8....27.....52......89......132.......187.......248........321........400 ...16....79....208.....473......872......1519......2392.......3617.......5184 ...32...223....704....1785.....3496......6367.....10640......16909......25152 ...64...651...2720....9437....24888.....59415....120412.....222037.....374712 ..128..1907..10952...47953...144624....371227....838604....1732385....3243544 ..256..5639..45888..264473..1019568...3347259...8983896...21295973...45095084 ..512.16967.195516.1440243..6717892..25280899..78435176..215244983..519836920 .1024.52131.852260.8079297.47046932.217539879.789142896.2486304965.6802360404 ... Some solutions for n=6 k=4 ..4....2....2....2....3....2....0....2....2....2....1....3....1....2....2....4 ..3....1....1....3....0....3....2....1....0....0....4....0....0....4....1....0 ..1....0....3....2....2....3....3....4....0....4....1....1....0....3....1....4 ..3....3....1....1....0....1....3....1....2....0....3....0....3....3....0....2 ..0....1....2....0....0....0....3....3....4....2....2....3....4....2....2....0 ..3....4....1....3....3....2....1....4....2....4....0....0....4....2....2....3 ..2....2....0....0....3....2....2....2....2....2....1....3....1....0....4....0 CROSSREFS Column 1 is A000079. Row 2 is A212959. Sequence in context: A207627 A102539 A240220 * A250277 A250167 A265534 Adjacent sequences: A250226 A250227 A250228 * A250230 A250231 A250232 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 14 2014 STATUS approved

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Last modified December 2 12:29 EST 2023. Contains 367517 sequences. (Running on oeis4.)