The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A270606 T(n,k)=Number of nXnXn triangular 0..k arrays with some element plus some adjacent element totalling k+1 or k-1 exactly once. 12
 0, 0, 6, 0, 0, 0, 0, 36, 0, 0, 0, 36, 312, 0, 0, 0, 96, 1716, 8808, 0, 0, 0, 120, 8148, 171576, 443088, 0, 0, 0, 204, 23448, 1728288, 46957788, 44168712, 0, 0, 0, 252, 67788, 13177740, 1008327378, 38923001616, 8708857332, 0, 0, 0, 360, 144252, 70129212 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Table starts .0.0........0...........0.............0...............0................0 .6.0.......36..........36............96.............120..............204 .0.0......312........1716..........8148...........23448............67788 .0.0.....8808......171576.......1728288........13177740.........70129212 .0.0...443088....46957788....1008327378.....25162747992.....271906503420 .0.0.44168712.38923001616.1749723617976.176610474548304.4288332432901128 LINKS R. H. Hardin, Table of n, a(n) for n = 1..112 FORMULA Empirical for row n: n=2: a(n) = 2*a(n-1) -2*a(n-3) +a(n-4) for n>5 n=3: [order 10] for n>17 n=4: [order 18] for n>33 Empirical quasipolynomials for row n: n=2: polynomial of degree 2 plus a quasipolynomial of degree 0 with period 2 for n>1 n=3: polynomial of degree 5 plus a quasipolynomial of degree 3 with period 2 for n>7 n=4: polynomial of degree 9 plus a quasipolynomial of degree 7 with period 2 for n>15 EXAMPLE Some solutions for n=4 k=4 .....0........0........4........0........0........0........2........3 ....0.4......0.1......0.4......0.0......0.0......0.1......0.1......1.1 ...0.4.4....3.1.3....1.3.3....4.4.2....0.0.0....0.0.3....0.0.0....1.3.1 ..0.0.0.3..1.3.3.4..3.1.1.3..2.0.4.3..0.1.4.2..4.0.1.3..0.4.4.0..0.0.1.3 CROSSREFS Sequence in context: A339861 A087936 A089804 * A087255 A097606 A201995 Adjacent sequences: A270603 A270604 A270605 * A270607 A270608 A270609 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Mar 20 2016 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 31 23:42 EDT 2023. Contains 363068 sequences. (Running on oeis4.)