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A298632 Number of nX5 0..1 arrays with every element equal to 0, 2, 3, 6 or 7 king-move adjacent elements, with upper left element zero. 1

%I

%S 1,24,7,25,34,61,107,234,433,961,2031,4286,9049,19572,42207,90557,

%T 194112,418184,901007,1939807,4174626,8990616,19367572,41712507,

%U 89838136,193510412,416852536,897902639,1934114676,4166302499,8974865117

%N Number of nX5 0..1 arrays with every element equal to 0, 2, 3, 6 or 7 king-move adjacent elements, with upper left element zero.

%C Column 5 of A298635.

%H R. H. Hardin, <a href="/A298632/b298632.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +a(n-2) -a(n-3) +8*a(n-4) -11*a(n-5) -21*a(n-6) +2*a(n-7) -20*a(n-8) +16*a(n-9) +84*a(n-10) +73*a(n-11) +27*a(n-12) -52*a(n-13) -169*a(n-14) -183*a(n-15) -110*a(n-16) +93*a(n-17) +314*a(n-18) +312*a(n-19) -93*a(n-20) -92*a(n-21) +137*a(n-22) -389*a(n-23) -208*a(n-24) +349*a(n-25) -384*a(n-26) -641*a(n-27) +876*a(n-28) +417*a(n-29) -387*a(n-30) +281*a(n-31) +240*a(n-32) -875*a(n-33) -87*a(n-34) +712*a(n-35) +36*a(n-36) -340*a(n-37) +530*a(n-38) +237*a(n-39) -522*a(n-40) -182*a(n-41) +26*a(n-42) -207*a(n-43) -81*a(n-44) +230*a(n-45) +220*a(n-46) -21*a(n-47) -58*a(n-48) +23*a(n-49) -4*a(n-50) -115*a(n-51) -50*a(n-52) +76*a(n-53) +6*a(n-54) -16*a(n-55) +34*a(n-56) +4*a(n-57) -12*a(n-58) for n>64

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A298635.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 23 2018

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Last modified January 26 02:39 EST 2022. Contains 350572 sequences. (Running on oeis4.)