A302879 - OEIS

%I #4 Apr 15 2018 10:35:47

%S 8,10,37,95,306,1442,5871,21832,89400,411068,1770984,7282331,31250009,

%T 139497681,604440671,2568314200,11116864094,48801680753,211521061837,

%U 909708854837,3943937945239,17186537187421,74492402195670

%N Number of 4Xn 0..1 arrays with every element equal to 0, 1, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Row 4 of A302877.

%H R. H. Hardin, <a href="/A302879/b302879.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +9*a(n-2) -a(n-3) +197*a(n-4) -369*a(n-5) -1849*a(n-6) +1185*a(n-7) -9297*a(n-8) +17419*a(n-9) +96934*a(n-10) -64121*a(n-11) +189735*a(n-12) -397855*a(n-13) -2179494*a(n-14) +1449982*a(n-15) -1953412*a(n-16) +5213325*a(n-17) +23546498*a(n-18) -17130545*a(n-19) +9687329*a(n-20) -39431609*a(n-21) -113301551*a(n-22) +101095763*a(n-23) -13652305*a(n-24) +144037950*a(n-25) +111473727*a(n-26) -192684002*a(n-27) -14180716*a(n-28) -92338753*a(n-29) +637491359*a(n-30) -458644178*a(n-31) -178181636*a(n-32) -418135324*a(n-33) -1125465677*a(n-34) +1681486374*a(n-35) +337584642*a(n-36) +257262389*a(n-37) +888728487*a(n-38) -1462999026*a(n-39) -506296467*a(n-40) +450179489*a(n-41) -448543244*a(n-42) -12981540*a(n-43) +230189402*a(n-44) +47001636*a(n-45) +246935888*a(n-46) +107738769*a(n-47) -70677303*a(n-48) -59948120*a(n-49) -23694726*a(n-50) -7999498*a(n-51) -4816966*a(n-52) -48148*a(n-53) +922529*a(n-54) +217690*a(n-55) +49426*a(n-56) -28880*a(n-57) -18874*a(n-58) -2384*a(n-59) -32*a(n-60) for n>64

%e Some solutions for n=5

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

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

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

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

%Y Cf. A302877.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 15 2018