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 A254568 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the four sums of the central row, central column, diagonal and antidiagonal nondecreasing horizontally and vertically 9
 512, 2384, 2384, 10240, 10870, 10240, 37200, 54212, 54212, 37200, 116056, 183210, 312322, 183210, 116056, 358324, 536906, 978154, 978154, 536906, 358324, 1029664, 1612832, 2647806, 2148260, 2647806, 1612832, 1029664, 2800912, 4205934, 7796356 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ......512.....2384.....10240.....37200....116056.....358324....1029664 .....2384....10870.....54212....183210....536906....1612832....4205934 ....10240....54212....312322....978154...2647806....7796356...20277514 ....37200...183210....978154...2148260...4796417...12136355...25618602 ...116056...536906...2647806...4796417..10679860...25591173...45085796 ...358324..1612832...7796356..12136355..25591173...67038844..120967261 ..1029664..4205934..20277514..25618602..45085796..120967261..206491388 ..2800912.10525070..50757141..56219231.101378800..285405350..496247824 ..7536024.25843648.124775368.118029035.196258426..585731513..980309768 .19539824.60108505.293581128.245830679.401333712.1260737905.2140733638 LINKS R. H. Hardin, Table of n, a(n) for n = 1..1740 FORMULA Empirical for column k: k=1: [linear recurrence of order 48] for n>50 k=2: [order 48] for n>56 k=3: [order 51] for n>61 k=4: [order 50] for n>62 k=5: [order 49] for n>63 k=6: [order 54] for n>70 k=7: [order 53] for n>71 Empirical quasipolynomials for column k: k=2: polynomial of degree 20 plus a quasipolynomial of degree 12 with period 6 for n>8 k=3: polynomial of degree 21 plus a quasipolynomial of degree 13 with period 6 for n>10 k=4: polynomial of degree 22 plus a quasipolynomial of degree 12 with period 6 for n>12 k=5: polynomial of degree 23 plus a quasipolynomial of degree 11 with period 6 for n>14 k=6: polynomial of degree 24 plus a quasipolynomial of degree 13 with period 6 for n>16 k=7: polynomial of degree 25 plus a quasipolynomial of degree 12 with period 6 for n>18 EXAMPLE Some solutions for n=2 k=4 ..0..0..0..1..0..0....0..0..0..0..0..1....0..0..0..1..0..1....0..0..0..0..0..0 ..0..0..0..0..1..0....1..0..0..0..1..0....0..0..0..1..1..1....0..0..0..1..1..0 ..0..0..0..0..1..0....0..1..1..1..1..1....1..1..1..1..1..0....1..0..1..1..1..1 ..0..1..1..1..1..1....0..1..1..0..0..1....0..1..0..1..1..1....1..1..0..0..0..1 CROSSREFS Sequence in context: A135273 A258522 A258519 * A254561 A254907 A257209 Adjacent sequences: A254565 A254566 A254567 * A254569 A254570 A254571 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Feb 01 2015 STATUS approved

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Last modified December 5 10:56 EST 2023. Contains 367589 sequences. (Running on oeis4.)