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A298090 Number of nX5 0..1 arrays with every element equal to 1, 2, 4 or 7 king-move adjacent elements, with upper left element zero. 1

%I

%S 3,23,21,53,45,87,150,216,249,423,711,980,1560,2431,3368,5598,8655,

%T 12707,20146,30825,46191,71375,111256,169061,260564,403605,607501,

%U 943194,1456420,2221340,3434014,5274975,8066460,12409799,19138048,29352378

%N Number of nX5 0..1 arrays with every element equal to 1, 2, 4 or 7 king-move adjacent elements, with upper left element zero.

%C Column 5 of A298093.

%H R. H. Hardin, <a href="/A298090/b298090.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +4*a(n-3) -2*a(n-6) -8*a(n-7) -14*a(n-8) -11*a(n-9) -9*a(n-10) +26*a(n-11) +48*a(n-12) +42*a(n-13) +51*a(n-14) -62*a(n-15) -67*a(n-16) -56*a(n-17) -57*a(n-18) +123*a(n-19) +120*a(n-20) +64*a(n-21) +143*a(n-22) -555*a(n-23) -261*a(n-24) -584*a(n-25) -76*a(n-26) +782*a(n-27) +657*a(n-28) +992*a(n-29) +34*a(n-30) -983*a(n-31) -776*a(n-32) -1202*a(n-33) +107*a(n-34) +1815*a(n-35) +1770*a(n-36) +3202*a(n-37) -178*a(n-38) -1628*a(n-39) -3922*a(n-40) -3738*a(n-41) -1508*a(n-42) +1903*a(n-43) +4277*a(n-44) +4438*a(n-45) +350*a(n-46) -3637*a(n-47) -7078*a(n-48) -5333*a(n-49) -3510*a(n-50) +1704*a(n-51) +6292*a(n-52) +8329*a(n-53) +9238*a(n-54) +3604*a(n-55) -3468*a(n-56) -6364*a(n-57) -9508*a(n-58) -2854*a(n-59) +3284*a(n-60) +6038*a(n-61) +7880*a(n-62) -1292*a(n-63) -5136*a(n-64) -5336*a(n-65) -3836*a(n-66) +1472*a(n-67) +148*a(n-68) +264*a(n-69) +2704*a(n-70) +2840*a(n-71) +3128*a(n-72) -752*a(n-73) -3384*a(n-74) -2624*a(n-75) -672*a(n-76) +1232*a(n-77) +1360*a(n-78) +464*a(n-79) -128*a(n-80) -192*a(n-81) -128*a(n-82) for n>86

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A298093.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 12 2018

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Last modified May 18 13:25 EDT 2022. Contains 353815 sequences. (Running on oeis4.)