A234193 - OEIS

%I #6 Jul 23 2025 08:21:53

%S 419125848,244346936321,138268664434880,77982317263392032,

%T 43876333157141621192,24677029734327048142633,

%U 13875767412104735555136424,7801937784020534863813964416,4386714890323535267228362223256

%N Number of (n+2)X(3+2) 0..3 arrays with no increasing sequence of length 3 horizontally, diagonally downwards or antidiagonally downwards.

%C Column 3 of A234196

%H R. H. Hardin, <a href="/A234193/b234193.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=1

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

%e ..1..0..0..0..2....1..0..2..1..0....0..0..3..0..0....0..0..3..0..0

%e ..1..0..1..1..2....0..2..0..1..0....3..1..1..0..0....0..1..1..2..1

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 21 2013