A281030 - OEIS

%I #4 Jan 13 2017 07:17:48

%S 0,12,532,2324,9854,38972,146606,533340,1896352,6625144,22832024,

%T 77840640,263040538,882310796,2941006434,9750587480,32176182992,

%U 105744971236,346270006718,1130247359072,3678591411860,11941616925216

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

%C Column 4 of A281034.

%H R. H. Hardin, <a href="/A281030/b281030.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-1) -39*a(n-2) +78*a(n-3) -89*a(n-4) +54*a(n-5) -22*a(n-6) -4*a(n-7) +304*a(n-8) -652*a(n-9) +443*a(n-10) -260*a(n-11) +444*a(n-12) -984*a(n-13) -873*a(n-14) +2792*a(n-15) +2111*a(n-16) +242*a(n-17) -6406*a(n-18) -2428*a(n-19) +3125*a(n-20) +5296*a(n-21) -369*a(n-22) -4222*a(n-23) -495*a(n-24) +2584*a(n-25) +1365*a(n-26) -1718*a(n-27) -1206*a(n-28) +628*a(n-29) +611*a(n-30) -180*a(n-31) -296*a(n-32) +80*a(n-33) +108*a(n-34) -16*a(n-35) -16*a(n-36) for n>41

%e Some solutions for n=4

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

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

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

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

%Y Cf. A281034.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 13 2017