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A196986 Number of nX5 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,3,4,1,0 for x=0,1,2,3,4 1

%I

%S 1,9,81,547,4244,31791,242602,1838579,13941719,105949190,804555155,

%T 6108373537,46382778115,352202493024,2674392958960,20307546721207,

%U 154201699487668,1170902185284561,8891038271677518,67512544345698850

%N Number of nX5 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,3,4,1,0 for x=0,1,2,3,4

%C Every 0 is next to 0 2's, every 1 is next to 1 3's, every 2 is next to 2 4's, every 3 is next to 3 1's, every 4 is next to 4 0's

%C Column 5 of A196989

%H R. H. Hardin, <a href="/A196986/b196986.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +19*a(n-2) +106*a(n-3) +428*a(n-4) +1034*a(n-5) +943*a(n-6) -7692*a(n-7) -40979*a(n-8) -72843*a(n-9) +85062*a(n-10) +406555*a(n-11) +89890*a(n-12) -990937*a(n-13) -1361953*a(n-14) +263139*a(n-15) +2406168*a(n-16) +1755933*a(n-17) -1448065*a(n-18) -4224076*a(n-19) -1491618*a(n-20) +3926178*a(n-21) +10289740*a(n-22) +12379706*a(n-23) +8404440*a(n-24) +2848826*a(n-25) -897343*a(n-26) -8820109*a(n-27) +5130877*a(n-28) -7136789*a(n-29) +1328272*a(n-30) -2705692*a(n-31) +718088*a(n-32) -67176*a(n-33) -199050*a(n-34) +446958*a(n-35) -135708*a(n-36) +195055*a(n-37) -41579*a(n-38) +22729*a(n-39) -8820*a(n-40) -8506*a(n-41) +2496*a(n-42) -880*a(n-43) +870*a(n-44) -129*a(n-45) -26*a(n-46) +a(n-48)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 08 2011

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Last modified May 16 07:48 EDT 2022. Contains 353693 sequences. (Running on oeis4.)