# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a299048 Showing 1-1 of 1 %I A299048 #4 Feb 01 2018 14:20:45 %S A299048 5,16,40,455,1650,10706,76068,445597,2902533,19204880,121652513, %T A299048 790850405,5141909319,33135126906,214855459081,1392224798269, %U A299048 9005556603052,58337331135135,377789663876767,2445748153198451 %N A299048 Number of nX4 0..1 arrays with every element equal to 0, 1, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero. %C A299048 Column 4 of A299052. %H A299048 R. H. Hardin, Table of n, a(n) for n = 1..210 %F A299048 Empirical: a(n) = 4*a(n-1) +17*a(n-2) +91*a(n-3) -441*a(n-4) -1412*a(n-5) -1795*a(n-6) +14444*a(n-7) +38743*a(n-8) +4354*a(n-9) -219442*a(n-10) -445582*a(n-11) +215939*a(n-12) +1755120*a(n-13) +1856749*a(n-14) -2851789*a(n-15) -7056619*a(n-16) +1896568*a(n-17) +16599843*a(n-18) +7411988*a(n-19) -36570210*a(n-20) -48189209*a(n-21) +30887758*a(n-22) +117508143*a(n-23) +66164602*a(n-24) -107676097*a(n-25) -194033556*a(n-26) -32507518*a(n-27) +189427489*a(n-28) +153275440*a(n-29) -48740284*a(n-30) -186966176*a(n-31) -55538244*a(n-32) +153463562*a(n-33) +178445765*a(n-34) -74905690*a(n-35) -229954672*a(n-36) -76342848*a(n-37) +126582799*a(n-38) +88979427*a(n-39) -6412703*a(n-40) -3164622*a(n-41) -2717580*a(n-42) -20660957*a(n-43) -20947988*a(n-44) +5951972*a(n-45) +11311952*a(n-46) +1501468*a(n-47) -813181*a(n-48) -801514*a(n-49) -581210*a(n-50) -130320*a(n-51) +42224*a(n-52) +57304*a(n-53) +22016*a(n-54) +2560*a(n-55) for n>58 %e A299048 Some solutions for n=5 %e A299048 ..0..0..1..0. .0..0..0..0. .0..0..0..0. .0..1..0..0. .0..0..0..1 %e A299048 ..1..1..1..1. .0..0..0..0. .0..0..1..1. .1..0..0..0. .1..1..0..0 %e A299048 ..0..0..1..1. .1..0..1..1. .0..0..1..1. .1..1..0..0. .1..1..0..0 %e A299048 ..0..0..1..1. .0..0..1..1. .0..0..1..0. .1..1..1..0. .1..1..1..0 %e A299048 ..1..1..1..1. .1..0..0..0. .0..0..1..0. .0..1..0..1. .0..1..1..0 %Y A299048 Cf. A299052. %K A299048 nonn %O A299048 1,1 %A A299048 _R. H. Hardin_, Feb 01 2018 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE