A297599 - OEIS

%I #4 Jan 01 2018 12:11:32

%S 1,85,597,1977,18577,163704,975485,6551844,50398161,352390358,

%T 2398926979,17125942248,121877564552,851145373245,5985375126147,

%U 42335812708116,298062036716448,2096304373306315,14776780052329473,104136065922562829

%N Number of 6Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 5 neighboring 1s.

%C Row 6 of A297595.

%H R. H. Hardin, <a href="/A297599/b297599.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +12*a(n-2) +206*a(n-3) +513*a(n-4) -732*a(n-5) -12596*a(n-6) -41052*a(n-7) -4710*a(n-8) +377637*a(n-9) +1101532*a(n-10) +366692*a(n-11) -4343819*a(n-12) -12490935*a(n-13) -9276248*a(n-14) +15909019*a(n-15) +71212770*a(n-16) +61679513*a(n-17) +21749848*a(n-18) -140969781*a(n-19) -237463915*a(n-20) -163497345*a(n-21) -435237443*a(n-22) +473778443*a(n-23) +950680659*a(n-24) +3170197500*a(n-25) +3748925010*a(n-26) +2206798374*a(n-27) -317152120*a(n-28) -4875492868*a(n-29) -5969143264*a(n-30) -534214988*a(n-31) +2304486028*a(n-32) +2576130508*a(n-33) -2467773439*a(n-34) +650799326*a(n-35) -1914397174*a(n-36) +953402425*a(n-37) +521148604*a(n-38) +357576020*a(n-39) -85114712*a(n-40) -158612761*a(n-41) -10014570*a(n-42) +14399616*a(n-43) +3440613*a(n-44) +176856*a(n-45) -189896*a(n-46) -768*a(n-47) -77056*a(n-48) +7168*a(n-49)

%e Some solutions for n=6

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

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

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

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

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

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

%Y Cf. A297595.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 01 2018