editing

approved

R. H. Hardin, <a href="/A281161/b281161.txt">Table of n, a(n) for n = 1..210</a>

allocated for R. H. Hardin

Number of nX4 0..1 arrays with no element equal to more than three of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

0, 18, 477, 4744, 27229, 136138, 619502, 2648442, 10801150, 42551822, 163239272, 612961308, 2261647383, 8223780452, 29535123698, 104951937704, 369520911863, 1290569244146, 4475343603756, 15421104322462, 52836768615741

1,2

Column 4 of A281165.

Empirical: a(n) = 15*a(n-1) -96*a(n-2) +347*a(n-3) -792*a(n-4) +1200*a(n-5) -1225*a(n-6) +846*a(n-7) +99*a(n-8) -3200*a(n-9) +8769*a(n-10) -12399*a(n-11) +11088*a(n-12) -10104*a(n-13) +13701*a(n-14) +2429*a(n-15) -42087*a(n-16) +36210*a(n-17) -14552*a(n-18) +59172*a(n-19) -105162*a(n-20) +11044*a(n-21) +162642*a(n-22) +92031*a(n-23) -188056*a(n-24) -515016*a(n-25) +117756*a(n-26) +606857*a(n-27) +495879*a(n-28) -499500*a(n-29) -751875*a(n-30) +52251*a(n-31) +678108*a(n-32) +274651*a(n-33) -509097*a(n-34) -363300*a(n-35) +255392*a(n-36) +372528*a(n-37) -64146*a(n-38) -267880*a(n-39) -21021*a(n-40) +146892*a(n-41) +42317*a(n-42) -75195*a(n-43) -34290*a(n-44) +31305*a(n-45) +18738*a(n-46) -9858*a(n-47) -7916*a(n-48) +3060*a(n-49) +2712*a(n-50) -808*a(n-51) -624*a(n-52) +96*a(n-53) +64*a(n-54) for n>61

Some solutions for n=4

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

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

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

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

Cf. A281165.

allocated

nonn

R. H. Hardin, Jan 16 2017

approved

editing

allocated for R. H. Hardin

allocated

approved