A299138 - OEIS

%I #4 Feb 03 2018 09:30:40

%S 2,64,899,11179,143548,1850266,23808476,306389599,3942948157,

%T 50742301057,653008378352,8403637443308,108147349359549,

%U 1391760325555663,17910719161925156,230495046446621416,2966266510949018995

%N Number of nX4 0..1 arrays with every element equal to 1, 2, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero.

%C Column 4 of A299142.

%H R. H. Hardin, <a href="/A299138/b299138.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 12*a(n-1) +15*a(n-2) -33*a(n-3) -170*a(n-4) -418*a(n-5) -831*a(n-6) +290*a(n-7) +4188*a(n-8) +6777*a(n-9) +14211*a(n-10) +16195*a(n-11) +26645*a(n-12) -10951*a(n-13) -43014*a(n-14) +25645*a(n-15) +64072*a(n-16) -55702*a(n-17) -65256*a(n-18) -6799*a(n-19) +41979*a(n-20) +5773*a(n-21) -34173*a(n-22) -26481*a(n-23) -40556*a(n-24) -33028*a(n-25) -12415*a(n-26) +1169*a(n-27) +779*a(n-28) -497*a(n-29) -106*a(n-30) +80*a(n-31) +63*a(n-32) +14*a(n-33) for n>34

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A299142.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 03 2018