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R. H. Hardin, <a href="/A299048/b299048.txt">Table of n, a(n) for n = 1..210</a>

allocated for R. H. Hardin

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.

5, 16, 40, 455, 1650, 10706, 76068, 445597, 2902533, 19204880, 121652513, 790850405, 5141909319, 33135126906, 214855459081, 1392224798269, 9005556603052, 58337331135135, 377789663876767, 2445748153198451

1,1

Column 4 of A299052.

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

Some solutions for n=5

..0..0..1..0. .0..0..0..0. .0..0..0..0. .0..1..0..0. .0..0..0..1

..1..1..1..1. .0..0..0..0. .0..0..1..1. .1..0..0..0. .1..1..0..0

..0..0..1..1. .1..0..1..1. .0..0..1..1. .1..1..0..0. .1..1..0..0

..0..0..1..1. .0..0..1..1. .0..0..1..0. .1..1..1..0. .1..1..1..0

..1..1..1..1. .1..0..0..0. .0..0..1..0. .0..1..0..1. .0..1..1..0

Cf. A299052.

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nonn

R. H. Hardin, Feb 01 2018

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