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 A186096 T(n,k)=Number of (n+2)X(k+2) 0..4 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order 10
 102251, 1252889, 1252889, 11258613, 22559052, 11258613, 83378583, 280102672, 280102672, 83378583, 531218757, 2743553694, 4527262140, 2743553694, 531218757, 2985984444, 22408644868, 55707179395, 55707179395, 22408644868, 2985984444 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ........102251.........1252889.........11258613...........83378583 .......1252889........22559052........280102672.........2743553694 ......11258613.......280102672.......4527262140........55707179395 ......83378583......2743553694......55707179395.......837192826927 .....531218757.....22408644868.....558643720724.....10064164793382 ....2985984444....157927508610....4754203179765....101247852066065 ...15084070635....983600385660...35285910378578....878623899164100 ...69482992431...5510351270895..232998389350277...6723402580436327 ..295278398390..28148281162513.1389861134920751..46135247077059665 .1168636004931.132536596243411.7581135805604097.287649593317228144 LINKS R. H. Hardin, Table of n, a(n) for n = 1..219 R. H. Hardin, Polynomials for columns 1-8 FORMULA Empirical: T(n,k) is a polynomial of degree 4k+30 in n, for fixed k. Let T(n,k,z) be the number of (n+2)X(k+2) 0..z arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order. Then empirically T(n,k,z) is a polynomial of degree z*k + z*(z+1)*(z+5)/6 in n, for fixed k. EXAMPLE Some solutions for 5X4 ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0 ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0 ..0..0..0..2....0..0..0..2....0..0..0..2....0..0..1..2....0..0..1..2 ..0..1..2..1....1..1..2..2....1..1..2..0....1..2..4..4....0..2..1..2 ..2..3..3..4....1..2..0..0....3..4..0..1....1..4..1..3....2..4..3..2 CROSSREFS Sequence in context: A153050 A203592 A106813 * A186088 A186087 A106814 Adjacent sequences:  A186093 A186094 A186095 * A186097 A186098 A186099 KEYWORD nonn,tabl AUTHOR R. H. Hardin, General degree formula intuited by D. S. McNeil in the Sequence Fans Mailing List, Feb 12 2011 STATUS approved

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Last modified January 20 19:22 EST 2021. Contains 340332 sequences. (Running on oeis4.)