A297522 - OEIS

%I #4 Dec 31 2017 09:56:44

%S 1,24,177,624,2610,15896,85843,402072,1970884,10281752,52457558,

%T 260911506,1310325200,6651660023,33617677893,169149591947,

%U 852752626610,4307076050513,21735155415610,109599311945494,552867513790810

%N Number of 4Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 3 neighboring 1s.

%C Row 4 of A297519.

%H R. H. Hardin, <a href="/A297522/b297522.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +7*a(n-2) +30*a(n-3) +190*a(n-4) +135*a(n-5) -397*a(n-6) -744*a(n-7) -3268*a(n-8) -2810*a(n-9) +6340*a(n-10) +2928*a(n-11) -2154*a(n-12) +11260*a(n-13) -3923*a(n-14) -40330*a(n-15) -10049*a(n-16) +42471*a(n-17) +30552*a(n-18) -645*a(n-19) -17700*a(n-20) -17696*a(n-21) +2847*a(n-22) +15106*a(n-23) -2542*a(n-24) -5927*a(n-25) +11368*a(n-26) +2122*a(n-27) -2117*a(n-28) +212*a(n-29) -4*a(n-30) -94*a(n-31)

%e Some solutions for n=7

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

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

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

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

%Y Cf. A297519.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 31 2017