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A295844 Number of nX5 0..1 arrays with each 1 adjacent to 1 or 2 king-move neighboring 1s. 1

%I

%S 12,261,2197,26544,333366,3804661,45214991,538013975,6343699611,

%T 75116234061,889359542764,10520942085903,124514937309050,

%U 1473580659681018,17437858397776247,206362921178436157

%N Number of nX5 0..1 arrays with each 1 adjacent to 1 or 2 king-move neighboring 1s.

%C Column 5 of A295847.

%H R. H. Hardin, <a href="/A295844/b295844.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 11*a(n-1) -5*a(n-2) +300*a(n-3) -1643*a(n-4) +3417*a(n-5) -18172*a(n-6) +29603*a(n-7) -51257*a(n-8) +272523*a(n-9) -231977*a(n-10) +788764*a(n-11) -1381225*a(n-12) -732835*a(n-13) -1386114*a(n-14) -242317*a(n-15) +6665186*a(n-16) -996047*a(n-17) -5648781*a(n-18) -1391422*a(n-19) +3035557*a(n-20) -1545121*a(n-21) +7440631*a(n-22) +821652*a(n-23) -9685076*a(n-24) +1807195*a(n-25) +1576716*a(n-26) -1619373*a(n-27) +2387619*a(n-28) -243797*a(n-29) -34093*a(n-30) +253787*a(n-31) -60395*a(n-32) +22182*a(n-33) +4856*a(n-34) -600*a(n-35)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A295847.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 29 2017

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Last modified June 27 04:37 EDT 2022. Contains 354888 sequences. (Running on oeis4.)