A232910 - OEIS

%I #6 Mar 09 2023 17:25:27

%S 4,34,320,2958,27692,250934,2338508,21159320,192619880,1767181410,

%T 16165706444,147550684090,1348528674604,12330783808396,

%U 112700663242560,1029964489404282,9413986758909060,86046903897714270,786467010156728596

%N Number of (2+1) X (n+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or antidiagonally.

%C Row 2 of A232908.

%H R. H. Hardin, <a href="/A232910/b232910.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +22*a(n-2) +284*a(n-3) +1034*a(n-4) +1536*a(n-5) -10076*a(n-6) -58252*a(n-7) +51408*a(n-8) +498496*a(n-9) -391702*a(n-10) -7998492*a(n-11) -4700227*a(n-12) +44572282*a(n-13) -40476506*a(n-14) -186165084*a(n-15) +241000952*a(n-16) +553905740*a(n-17) +53162532*a(n-18) -1539394488*a(n-19) +525708784*a(n-20) +2909661120*a(n-21) -4710162944*a(n-22) +146430976*a(n-23) +3625709568*a(n-24) -4520968192*a(n-25) +1704722432*a(n-26) -506986496*a(n-27) -700448768*a(n-28) +167772160*a(n-29) for n>30.

%e Some solutions for n=5

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

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

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

%Y Cf. A232908.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 02 2013