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A196638 Number of nX5 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 1,4,2,0,3 for x=0,1,2,3,4 1

%I

%S 1,26,232,1927,17518,154629,1359317,12023695,106039299,936657625,

%T 8268804393,72998302818,644487244986,5689897996053,50233768766506,

%U 443492858364741,3915416819930768,34567612325414149,305183172877964077

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

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

%C Column 5 of A196641

%H R. H. Hardin, <a href="/A196638/b196638.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 7*a(n-1) +14*a(n-2) +23*a(n-3) +122*a(n-4) -760*a(n-5) -4663*a(n-6) -1851*a(n-7) -29775*a(n-8) -242554*a(n-9) -55003*a(n-10) +934121*a(n-11) -1412566*a(n-12) -2341529*a(n-13) +9164858*a(n-14) +2195927*a(n-15) -26061658*a(n-16) +5090997*a(n-17) +30313109*a(n-18) -139490589*a(n-19) +68762699*a(n-20) +467186905*a(n-21) +185036089*a(n-22) +100721198*a(n-23) +269757735*a(n-24) -829555128*a(n-25) -1780156036*a(n-26) -531135067*a(n-27) +308241959*a(n-28) +3229823941*a(n-29) -1047838027*a(n-30) -1925117409*a(n-31) +12746446728*a(n-32) -11649005721*a(n-33) -15581584215*a(n-34) +13739355714*a(n-35) -18072380965*a(n-36) -29236625756*a(n-37) +7209307687*a(n-38) +501694438*a(n-39) -20282473952*a(n-40) +7989528077*a(n-41) +9421258737*a(n-42) -102865793*a(n-43) +2259091987*a(n-44) +4714464114*a(n-45) +7937137580*a(n-46) +1926795497*a(n-47) +4819281099*a(n-48) +1019261456*a(n-49) +640626741*a(n-50) +289803750*a(n-51) -638152130*a(n-52) -13887074*a(n-53) -466863116*a(n-54) -56251536*a(n-55) -110104467*a(n-56) -44304084*a(n-57) -2871424*a(n-58) -16906936*a(n-59) +2113412*a(n-60) -1842434*a(n-61) -366202*a(n-62) -14514*a(n-63) -93202*a(n-64) +25220*a(n-65) -10528*a(n-66) +3008*a(n-67) -36*a(n-68) +72*a(n-69) for n>70

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 04 2011

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Last modified September 28 06:40 EDT 2021. Contains 347703 sequences. (Running on oeis4.)