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A186123 Number of (n+1)X5 binary arrays with every 2X2 subblock diagonal sum less antidiagonal sum equal to some horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum 1

%I

%S 50,254,946,4254,17794,79782,350266,1574348,7039308,31791832,

%T 143422488,649853710,2944761666,13369773598,60719993934,276010194872,

%U 1254976548136,5708622661652,25972110429080,118188673239130,537890728864526

%N Number of (n+1)X5 binary arrays with every 2X2 subblock diagonal sum less antidiagonal sum equal to some horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum

%C Column 4 of A186128

%H R. H. Hardin, <a href="/A186123/b186123.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=13*a(n-1)-27*a(n-2)-313*a(n-3)+1360*a(n-4)+2960*a(n-5)-21942*a(n-6)-11823*a(n-7)+207082*a(n-8)-8597*a(n-9)-1365516*a(n-10)+273265*a(n-11)+6957547*a(n-12)-661483*a(n-13)-29271261*a(n-14)-5183365*a(n-15)+105123375*a(n-16)+53449823*a(n-17)-322792246*a(n-18)-264403445*a(n-19)+833623544*a(n-20)+917183114*a(n-21)-1771318700*a(n-22)-2500483447*a(n-23)+3014800837*a(n-24)+5679518352*a(n-25)-3928025864*a(n-26)-11068642898*a(n-27)+3449723643*a(n-28)+18652699704*a(n-29)-720507050*a(n-30)-27075919990*a(n-31)-4150074641*a(n-32)+33684461501*a(n-33)+9845557873*a(n-34)-36002318878*a(n-35)-14320175787*a(n-36)+33511328801*a(n-37)+15681313926*a(n-38)-27614165654*a(n-39)-13198975601*a(n-40)+20498342300*a(n-41)+7233225845*a(n-42)-14234922396*a(n-43)+1351829704*a(n-44)+9789428363*a(n-45)-10132487225*a(n-46)-7385233165*a(n-47)+15981020015*a(n-48)+7209995908*a(n-49)-17486996880*a(n-50)-9135579843*a(n-51)+14919288619*a(n-52)+11444925467*a(n-53)-9093755033*a(n-54)-11423688533*a(n-55)+2516202348*a(n-56)+8167361183*a(n-57)+1449757374*a(n-58)-3957191684*a(n-59)-2063583521*a(n-60)+1240084684*a(n-61)+1208640257*a(n-62)-212076992*a(n-63)-490905835*a(n-64)-65556295*a(n-65)+112985115*a(n-66)+117620104*a(n-67)+51984509*a(n-68)-76189430*a(n-69)-70949032*a(n-70)+39949387*a(n-71)+45626975*a(n-72)-17536162*a(n-73)-25550856*a(n-74)+4728478*a(n-75)+13766856*a(n-76)+2272908*a(n-77)-5218884*a(n-78)-2862290*a(n-79)+658554*a(n-80)+1147760*a(n-81)+206358*a(n-82)-177984*a(n-83)-90256*a(n-84)+4684*a(n-85)+11996*a(n-86)+200*a(n-87)-464*a(n-88)-96*a(n-89)+128*a(n-90) for n>92

%e Some solutions for 3X5

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 13 2011

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Last modified January 21 12:13 EST 2022. Contains 350477 sequences. (Running on oeis4.)