A297313 - OEIS

%I #4 Dec 28 2017 07:26:55

%S 37,2049,72541,2997197,121339476,4893232934,197589351469,

%T 7976248015498,322003901582689,12999267991486894,524779765336699929,

%U 21185341677783382911,855251189043741854090,34526455187798967298229

%N Number of nX7 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 1 or 2 neighboring 1s.

%C Column 7 of A297314.

%H R. H. Hardin, <a href="/A297313/b297313.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 13*a(n-1) +964*a(n-2) +7855*a(n-3) -73030*a(n-4) -695613*a(n-5) +4192801*a(n-6) +21033448*a(n-7) -189025018*a(n-8) +184530457*a(n-9) +2066786840*a(n-10) -6682871967*a(n-11) -2708665119*a(n-12) +45304491886*a(n-13) -54509700621*a(n-14) -95719215815*a(n-15) +223090781321*a(n-16) +84502966487*a(n-17) -410238492043*a(n-18) -12548934436*a(n-19) +443801529456*a(n-20) -51099076433*a(n-21) -300831504736*a(n-22) +77062707971*a(n-23) +143343109349*a(n-24) -51338858358*a(n-25) -50336809366*a(n-26) +15557513886*a(n-27) +10486046289*a(n-28) -2094967974*a(n-29) -921214165*a(n-30) +89836481*a(n-31) +14593572*a(n-32) +487976*a(n-33) -95199*a(n-34) -3510*a(n-35) for n>39

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A297314.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 28 2017