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A279853 Number of nX4 0..2 arrays with no element unequal to a strict majority of its horizontal and vertical neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. 1

%I

%S 2,24,168,972,5200,26632,134898,668668,3278294,15902088,76515244,

%T 365585432,1736575416,8206953072,38615236370,180986296644,

%U 845359203352,3936439186972,18279759467004,84675466304900,391350188916098

%N Number of nX4 0..2 arrays with no element unequal to a strict majority of its horizontal and vertical neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

%C Column 4 of A279856.

%H R. H. Hardin, <a href="/A279853/b279853.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 16*a(n-1) -96*a(n-2) +234*a(n-3) +74*a(n-4) -1878*a(n-5) +5053*a(n-6) -6092*a(n-7) -1433*a(n-8) +20562*a(n-9) -43095*a(n-10) +59066*a(n-11) -74667*a(n-12) +116460*a(n-13) -201487*a(n-14) +270314*a(n-15) -234247*a(n-16) +69548*a(n-17) +147085*a(n-18) -260796*a(n-19) +309393*a(n-20) -437158*a(n-21) +682254*a(n-22) -940810*a(n-23) +842002*a(n-24) -383734*a(n-25) -172142*a(n-26) +689424*a(n-27) -853200*a(n-28) +709896*a(n-29) -491572*a(n-30) +247956*a(n-31) -95569*a(n-32) +32832*a(n-33) -3312*a(n-34) -624*a(n-35) +192*a(n-36) -384*a(n-37) -64*a(n-38) for n>41

%e Some solutions for n=4

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

%e ..0..0..1..1. .2..2..0..0. .0..0..1..1. .0..0..0..0. .1..1..0..0

%e ..0..2..1..1. .2..2..0..0. .1..2..2..2. .0..1..1..1. .1..1..1..0

%e ..0..2..2..2. .2..2..2..2. .1..2..2..2. .0..1..1..1. .1..1..1..1

%Y Cf. A279856.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 20 2016

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Last modified October 28 21:20 EDT 2020. Contains 338064 sequences. (Running on oeis4.)