|
%I #5 Mar 31 2012 12:37:31
%S 10019,2731088,735336694,198219480450,53426898480029,
%T 14400523684710903,3881469298371686670,1046198452246381246181,
%U 281988882443671489007418,76006354002920663184215406,20486502156051971842814357761
%N Number of (n+1)X5 0..3 arrays with every 2X2 subblock having one, three or four distinct values, and new values 0..3 introduced in row major order
%C Column 4 of A210134
%H R. H. Hardin, <a href="/A210130/b210130.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 319*a(n-1) -12448*a(n-2) -307770*a(n-3) +19003857*a(n-4) -47940781*a(n-5) -8062797435*a(n-6) +95630724963*a(n-7) +949633978540*a(n-8) -23587913597875*a(n-9) +72618564306781*a(n-10) +1459146419334837*a(n-11) -13658086185029599*a(n-12) +17603864407218421*a(n-13) +283502331705919989*a(n-14) -1303129591973246857*a(n-15) -279014374825669271*a(n-16) +13815024039103815024*a(n-17) -22992880145677918265*a(n-18) -44182446460842415541*a(n-19) +152128697073903743642*a(n-20) -14505606850313450236*a(n-21) -344933214811274872678*a(n-22) +261141694209971459720*a(n-23) +296779187097877685464*a(n-24) -389773691540956876144*a(n-25) -44632888312447155024*a(n-26) +204261362669091285120*a(n-27) -46639179100779322176*a(n-28) -30753710235878999040*a(n-29) +11357654705402941440*a(n-30) +637302851625194496*a(n-31) -414118546177001472*a(n-32)
%e Some solutions for n=4
%e ..0..1..1..0..0....0..0..0..1..2....0..0..0..0..1....0..0..0..0..0
%e ..0..2..3..0..0....0..0..0..2..3....2..3..1..2..3....1..2..3..2..3
%e ..3..2..0..1..2....0..0..0..1..2....2..0..0..1..2....0..2..0..3..0
%e ..2..0..1..2..0....2..1..2..3..2....3..2..1..2..3....1..2..3..2..3
%e ..0..1..3..0..1....0..0..0..0..1....1..1..3..0..2....1..3..1..3..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Mar 17 2012
| 