|
%I #4 Dec 10 2017 12:07:57
%S 13,116,816,6504,50595,392230,3051494,23717411,184355308,1433037638,
%T 11139235409,86587195895,673057105974,5231789401997,40667601888818,
%U 316116291607512,2457226536205687,19100446262603801,148471067812857111
%N Number of nX5 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 0 or 2 neighboring 1s.
%C Column 5 of A296335.
%H R. H. Hardin, <a href="/A296332/b296332.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 7*a(n-1) +3*a(n-2) +43*a(n-3) -108*a(n-4) -202*a(n-5) -1032*a(n-6) -445*a(n-7) -1793*a(n-8) +4099*a(n-9) -4465*a(n-10) +12221*a(n-11) -22700*a(n-12) +42730*a(n-13) -78341*a(n-14) +174054*a(n-15) -318760*a(n-16) +484060*a(n-17) -492919*a(n-18) +282609*a(n-19) +58331*a(n-20) -340724*a(n-21) +330980*a(n-22) -108845*a(n-23) -2824*a(n-24) -50894*a(n-25) +57699*a(n-26) +19438*a(n-27) -42546*a(n-28) -4887*a(n-29) +33956*a(n-30) -19967*a(n-31) -1438*a(n-32) +8948*a(n-33) -4861*a(n-34) -1371*a(n-35) +2471*a(n-36) +259*a(n-37) -1554*a(n-38) +614*a(n-39) +238*a(n-40) -233*a(n-41) +36*a(n-42) +14*a(n-43) -4*a(n-44)
%e Some solutions for n=5
%e ..1..0..0..0..0. .0..0..0..1..0. .1..0..0..0..0. .1..0..1..0..1
%e ..0..0..1..0..0. .0..0..1..1..0. .0..0..1..0..0. .0..1..1..0..0
%e ..0..1..1..0..0. .1..0..0..0..1. .0..0..0..1..0. .0..0..0..0..0
%e ..0..0..0..0..0. .0..0..0..0..0. .1..0..0..0..1. .1..1..0..0..0
%e ..0..0..1..0..0. .0..0..1..0..1. .0..1..0..1..1. .1..0..1..0..1
%Y Cf. A296335.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 10 2017
| 