A298236 - OEIS

%I #6 Jan 16 2018 11:33:14

%S 1,42,124,1156,8117,66626,563826,4788445,41239301,355478656,

%T 3071723340,26560212799,229752597446,1987833161737,17200321179989,

%U 148838661721030,1287965419617046,11145454952537116,96448124237702960,834624171283503694

%N Number of nX4 0..1 arrays with every element equal to 0, 2, 3, 4 or 5 king-move adjacent elements, with upper left element zero.

%C Column 4 of A298240.

%H R. H. Hardin, <a href="/A298236/b298236.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) +32*a(n-2) -170*a(n-3) -756*a(n-4) +1343*a(n-5) +8268*a(n-6) -1088*a(n-7) -52583*a(n-8) -36137*a(n-9) +211652*a(n-10) +261539*a(n-11) -549053*a(n-12) -977458*a(n-13) +949003*a(n-14) +2156328*a(n-15) -1458478*a(n-16) -3452942*a(n-17) +2947713*a(n-18) +5123245*a(n-19) -5969104*a(n-20) -8188927*a(n-21) +10106767*a(n-22) +13662104*a(n-23) -12831855*a(n-24) -19526809*a(n-25) +11999903*a(n-26) +20566810*a(n-27) -10210867*a(n-28) -20355027*a(n-29) +6591071*a(n-30) +17534517*a(n-31) -2850386*a(n-32) -10558997*a(n-33) +518625*a(n-34) +5863076*a(n-35) +420205*a(n-36) -2587827*a(n-37) -463804*a(n-38) +711538*a(n-39) +254620*a(n-40) -205739*a(n-41) -51176*a(n-42) +24022*a(n-43) +3692*a(n-44) -6064*a(n-45) -1992*a(n-46) +624*a(n-47) for n>49

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A298240.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 15 2018