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 A251160 Number of (n+1)X(1+1) 0..3 arrays with no 2X2 subblock having the maximum of its diagonal elements greater than the absolute difference of its antidiagonal elements 1
 96, 552, 2658, 12001, 55131, 257417, 1201970, 5597648, 26056421, 121329295, 565030902, 2631278472, 12253239453, 57060424477, 265717806149, 1237389994220, 5762253389058, 26833543568447, 124957900541999, 581901431575301 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Column 1 of A251167 LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 Robert Israel, Maple-assisted proof of empirical formula FORMULA Empirical: a(n) = 7*a(n-1) -18*a(n-2) +43*a(n-3) -59*a(n-4) +70*a(n-5) -62*a(n-6) +33*a(n-7) -14*a(n-8) -3*a(n-9) +6*a(n-10) -a(n-11) for n>13. Verified by Robert Israel, Jan 11 2019 (See link). EXAMPLE Some solutions for n=4 ..0..2....2..3....1..2....3..3....1..3....0..3....1..3....1..1....0..3....0..3 ..0..0....0..3....0..2....0..2....0..3....0..3....1..2....0..1....1..1....0..0 ..3..0....0..3....0..1....0..0....1..1....0..3....1..1....1..0....0..0....2..2 ..3..3....3..0....0..1....2..2....0..0....0..1....0..0....1..0....1..1....0..1 ..0..1....3..1....1..0....0..0....3..1....0..0....1..0....3..2....0..1....3..1 MAPLE q:= proc(a, b) local a1, a2, b1, b2; a1:= (a-1) mod 4; a2:= (a-1-a1)/4; b1:= (b-1) mod 4; b2:= (b-1-b1)/4; if max(b1, a2) > abs(b2-a1) then 0 else 1 fi end proc: T:= Matrix(16, 16, q): u:= Vector(16, 1): seq(u^%T . T^n . u, n=1..30); # Robert Israel, Jan 11 2019 CROSSREFS Cf. A251167. Sequence in context: A216372 A183684 A251167 * A233029 A216106 A268795 Adjacent sequences: A251157 A251158 A251159 * A251161 A251162 A251163 KEYWORD nonn AUTHOR R. H. Hardin, Nov 30 2014 STATUS approved

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Last modified May 23 21:14 EDT 2024. Contains 372765 sequences. (Running on oeis4.)