A201273 - OEIS

%I #12 Mar 18 2024 11:01:34

%S 1,3,12,14,85,199,143,740,1274,759,3416,5312,2746,11628,16676,7946,

%T 32164,43438,19713,76321,99347,43137,162566,205231,86351,318364,

%U 391600,161089,581578,702330,282904,1006014,1195239,473473,1662549,1947164,761467,2641053,3058967

%N Number of n X 4 0..2 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.

%H Alois P. Heinz, <a href="/A201273/b201273.txt">Table of n, a(n) for n = 0..10000</a> (terms n = 1..192 from R. H. Hardin)

%F a(n) = a(n-3) +2*a(n-6) +a(n-9) -4*a(n-12) -5*a(n-15) +4*a(n-18) +5*a(n-21) +a(n-24) -6*a(n-27) +6*a(n-33) -a(n-36) -5*a(n-39) -4*a(n-42) +5*a(n-45) +4*a(n-48) -a(n-51) -2*a(n-54) -a(n-57) +a(n-60).

%e Some solutions for n=5

%e ..0..0..0..1....0..0..0..2....0..0..0..0....0..0..0..1....0..0..1..1

%e ..0..0..1..1....0..1..1..2....0..0..1..1....0..0..1..2....0..0..1..1

%e ..0..0..1..2....0..1..1..2....0..1..2..2....0..1..2..2....0..0..2..2

%e ..1..1..2..2....0..1..2..2....1..1..2..2....0..1..2..2....0..1..2..2

%e ..2..2..2..2....0..1..2..2....1..1..2..2....1..1..2..2....1..1..2..2

%Y Column 4 of A201277.

%K nonn,easy

%O 0,2

%A _R. H. Hardin_, Nov 29 2011

%E a(0)=1 prepended by _Alois P. Heinz_, Mar 18 2024