A278283 - OEIS

%I #4 Nov 16 2016 12:13:01

%S 0,16,136,1461,15728,172091,1870365,20361727,221557310,2411418252,

%T 26242720295,285604090818,3108225766879,33827018841718,

%U 368140557268407,4006490289802208,43602794999327810,474531057207686074

%N Number of 4Xn 0..1 arrays with every element both equal and not equal to some elements at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) or (1,0), with upper left element zero.

%C Row 4 of A278280.

%H R. H. Hardin, <a href="/A278283/b278283.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) +54*a(n-2) +5*a(n-3) -99*a(n-4) -351*a(n-5) -3057*a(n-6) +230*a(n-7) +11670*a(n-8) +4069*a(n-9) +48697*a(n-10) +14335*a(n-11) -202907*a(n-12) +48043*a(n-13) -120257*a(n-14) -311151*a(n-15) +756039*a(n-16) -346208*a(n-17) +204157*a(n-18) +899225*a(n-19) -1285827*a(n-20) +1031967*a(n-21) -598369*a(n-22) -777646*a(n-23) +1067667*a(n-24) -1584475*a(n-25) +1368545*a(n-26) -897496*a(n-27) +746038*a(n-28) -330050*a(n-29) +248678*a(n-30) -139074*a(n-31) +62674*a(n-32) -48113*a(n-33) +13036*a(n-34) -8796*a(n-35) +2451*a(n-36) -360*a(n-37) +348*a(n-38) -18*a(n-39) +43*a(n-40)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A278280.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 16 2016