%I #4 Mar 08 2014 08:45:10

%S 15,203,2365,25601,270671,2827709,29422487,305525459,3170576253,

%T 32890537051,341164909807,3538555502557,36701472408455,

%U 380656870553721,3948062617070389,40947979951532603,424699049401817205

%N Number of nX3 0..3 arrays with no element equal to two plus the sum of elements to its left or two plus the sum of the sum of elements above it, modulo 4

%C Column 3 of A238997

%H R. H. Hardin, <a href="/A238992/b238992.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 13*a(n-1) +40*a(n-2) -914*a(n-3) +683*a(n-4) +21799*a(n-5) -40268*a(n-6) -255576*a(n-7) +617879*a(n-8) +1651695*a(n-9) -4744854*a(n-10) -5850014*a(n-11) +20400821*a(n-12) +9443201*a(n-13) -49172224*a(n-14) +1794964*a(n-15) +63874690*a(n-16) -34792348*a(n-17) -46269446*a(n-18) +85331340*a(n-19) +19168016*a(n-20) -137730200*a(n-21) +2475600*a(n-22) +191881992*a(n-23) -35419208*a(n-24) -200659312*a(n-25) +29452144*a(n-26) +50974176*a(n-27) -43973440*a(n-28) +100095104*a(n-29) +81128448*a(n-30) -69032960*a(n-31) -38481920*a(n-32) +7651328*a(n-33) +983040*a(n-34) -524288*a(n-35)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 08 2014