cp's OEIS Frontend

A297657 Number of 4 X n 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 3 neighboring 1's.

%I A297657 #6 May 04 2024 11:42:18
%S A297657 1,126,1421,11024,131044,1580681,16899640,184447765,2071914854,
%T A297657 22993996808,253857329257,2815072088290,31231596904276,
%U A297657 346040351074271,3834662231710946,42507894984837013,471153783855939918
%N A297657 Number of 4 X n 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 3 neighboring 1's.
%C A297657 Row 4 of A297654.
%H A297657 R. H. Hardin, <a href="/A297657/b297657.txt">Table of n, a(n) for n = 1..210</a>
%F A297657 Empirical: a(n) = 6*a(n-1) +15*a(n-2) +372*a(n-3) +1025*a(n-4) -46*a(n-5) -4101*a(n-6) -34244*a(n-7) -94085*a(n-8) -21654*a(n-9) +165356*a(n-10) +639904*a(n-11) +1471523*a(n-12) -895908*a(n-13) -4864047*a(n-14) -1270214*a(n-15) +3721117*a(n-16) +3725224*a(n-17) +1517589*a(n-18) -2895666*a(n-19) +611461*a(n-20) -1569477*a(n-21) -5436112*a(n-22) +6015995*a(n-23) -1131454*a(n-24) -3262066*a(n-25) +5806854*a(n-26) -3112355*a(n-27) -927930*a(n-28) +2386399*a(n-29) -1228290*a(n-30) -18124*a(n-31) +313018*a(n-32) -154300*a(n-33) +36726*a(n-34) +142*a(n-35) -2108*a(n-36) +652*a(n-37) +4*a(n-38).
%e A297657 Some solutions for n=5
%e A297657 ..0..0..1..1..1. .0..0..0..0..0. .1..1..1..1..0. .0..0..1..1..0
%e A297657 ..0..1..0..0..1. .1..0..0..0..0. .1..0..0..0..0. .0..1..0..0..1
%e A297657 ..1..0..0..1..1. .0..1..1..0..1. .0..1..0..0..0. .0..0..1..0..1
%e A297657 ..0..1..0..1..1. .1..0..0..1..1. .1..0..1..1..1. .0..0..1..1..0
%Y A297657 Cf. A297654.
%K A297657 nonn
%O A297657 1,2
%A A297657 _R. H. Hardin_, Jan 02 2018