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 A207423 Number of nX5 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 0 1 0 vertically 1

%I

%S 15,225,1425,8463,55361,341329,2048823,12436631,75326185,453869325,

%T 2736999545,16513415365,99553034715,600117044821,3618247957621,

%U 21813452529627,131499832021425,792759625024175,4779237788051311

%N Number of nX5 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 0 1 0 vertically

%C Column 5 of A207426

%H R. H. Hardin, <a href="/A207423/b207423.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) -8*a(n-2) +130*a(n-3) -403*a(n-4) -79*a(n-5) -4585*a(n-6) +6802*a(n-7) +21159*a(n-8) +91055*a(n-9) -25808*a(n-10) -479095*a(n-11) -1448979*a(n-12) -495678*a(n-13) +5088278*a(n-14) +15442023*a(n-15) +11693808*a(n-16) -31713060*a(n-17) -106555416*a(n-18) -113786370*a(n-19) +98384113*a(n-20) +484902259*a(n-21) +647324638*a(n-22) -10416620*a(n-23) -1362142484*a(n-24) -2344531319*a(n-25) -1147648484*a(n-26) +2060036105*a(n-27) +5213090150*a(n-28) +4713422838*a(n-29) -319232145*a(n-30) -6585903643*a(n-31) -9182695909*a(n-32) -4990982610*a(n-33) +2874681079*a(n-34) +9491587088*a(n-35) +8990298078*a(n-36) +3943057247*a(n-37) -3956198277*a(n-38) -6867205891*a(n-39) -6095461280*a(n-40) -1545797857*a(n-41) +1947069920*a(n-42) +3011364322*a(n-43) +1784529759*a(n-44) +234806441*a(n-45) -528826213*a(n-46) -254804818*a(n-47) +247257957*a(n-48) +243684666*a(n-49) +64309110*a(n-50) -308661703*a(n-51) -347854581*a(n-52) -215825965*a(n-53) -33678780*a(n-54) +93968247*a(n-55) +118093167*a(n-56) +70931840*a(n-57) +24964685*a(n-58) -7172591*a(n-59) -17663124*a(n-60) -8778767*a(n-61) -5053470*a(n-62) -452030*a(n-63) +1037839*a(n-64) +146870*a(n-65) +340125*a(n-66) -30418*a(n-67) -109741*a(n-68) +17599*a(n-69) -13818*a(n-70) -2005*a(n-71) +5901*a(n-72) -1149*a(n-73) -103*a(n-74) +132*a(n-75) -166*a(n-76) -a(n-77) +8*a(n-78) -a(n-79) +a(n-80)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 17 2012

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Last modified June 24 21:50 EDT 2021. Contains 345433 sequences. (Running on oeis4.)