A230992 - OEIS

A230992

Number of nX4 0..3 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value (x(i,j)+1) mod 4 and at least one element with value (x(i,j)-1) mod 4, and upper left element zero.

%I #6 Jul 23 2025 06:10:23

%S 0,16,182,10914,465638,20549430,899786196,39531660010,1735714471900,

%T 76213836360618,3346443118527598,146938989787609588,

%U 6451913103215823902,283296068073088420816,12439202883241219243898,546191007683593063562226

%N Number of nX4 0..3 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value (x(i,j)+1) mod 4 and at least one element with value (x(i,j)-1) mod 4, and upper left element zero.

%C Column 4 of A230994

%H R. H. Hardin, <a href="/A230992/b230992.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 02 2013