A303960 - OEIS

%I #4 May 03 2018 12:46:31

%S 64,101,287,1228,4137,14067,44492,156214,557417,1956218,6716752,

%T 23210871,80897656,281932195,978681468,3396019112,11800948010,

%U 41025631794,142545985576,495166288609,1720385595787,5978000554312,20771145428919

%N Number of nX7 0..1 arrays with every element unequal to 0, 1, 2 or 5 king-move adjacent elements, with upper left element zero.

%C Column 7 of A303961.

%H R. H. Hardin, <a href="/A303960/b303960.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +3*a(n-2) -a(n-3) +54*a(n-4) -31*a(n-5) -144*a(n-6) +35*a(n-7) -813*a(n-8) -336*a(n-9) +1948*a(n-10) -89*a(n-11) +4981*a(n-12) +6346*a(n-13) -10465*a(n-14) -1365*a(n-15) -17101*a(n-16) -28747*a(n-17) +33964*a(n-18) +6171*a(n-19) +37222*a(n-20) +65450*a(n-21) -82755*a(n-22) -9369*a(n-23) -54184*a(n-24) -97384*a(n-25) +146075*a(n-26) +5835*a(n-27) +41942*a(n-28) +109069*a(n-29) -171895*a(n-30) +4637*a(n-31) +1503*a(n-32) -97777*a(n-33) +135404*a(n-34) -14249*a(n-35) -41817*a(n-36) +73067*a(n-37) -72230*a(n-38) +12733*a(n-39) +52991*a(n-40) -45651*a(n-41) +24273*a(n-42) -3249*a(n-43) -39566*a(n-44) +23014*a(n-45) -3059*a(n-46) -2660*a(n-47) +19158*a(n-48) -9245*a(n-49) -1114*a(n-50) +3031*a(n-51) -6015*a(n-52) +3188*a(n-53) +557*a(n-54) -1449*a(n-55) +1283*a(n-56) -802*a(n-57) -43*a(n-58) +318*a(n-59) -216*a(n-60) +110*a(n-61) -12*a(n-62) -24*a(n-63) +24*a(n-64) -6*a(n-65) for n>71

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A303961.

%K nonn

%O 1,1

%A _R. H. Hardin_, May 03 2018