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A302520 Number of 7Xn 0..1 arrays with every element equal to 0, 1, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Apr 09 2018 09:13:34

%S 64,22,28,163,376,1088,4558,23944,95681,344525,1302832,5550086,

%T 23153940,91082448,353017903,1418215128,5785509156,23250191623,

%U 92140078093,367162912762,1476616246378,5935545674594,23726268173317,94734366451064

%N Number of 7Xn 0..1 arrays with every element equal to 0, 1, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Row 7 of A302515.

%H R. H. Hardin, <a href="/A302520/b302520.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +2*a(n-2) +5*a(n-3) +124*a(n-4) +113*a(n-5) +37*a(n-6) -47*a(n-7) -2901*a(n-8) -2868*a(n-9) +1875*a(n-10) +1261*a(n-11) +23265*a(n-12) +25593*a(n-13) -20268*a(n-14) -3073*a(n-15) -107075*a(n-16) -94478*a(n-17) +62944*a(n-18) -76347*a(n-19) +312669*a(n-20) +13413*a(n-21) -39205*a(n-22) +181202*a(n-23) -498359*a(n-24) +274119*a(n-25) -94414*a(n-26) -149744*a(n-27) +474263*a(n-28) -414929*a(n-29) +213390*a(n-30) +15865*a(n-31) -247470*a(n-32) +277066*a(n-33) -158702*a(n-34) +55846*a(n-35) +49720*a(n-36) -84556*a(n-37) +33873*a(n-38) -14054*a(n-39) -8001*a(n-40) +7808*a(n-41) -664*a(n-42) +901*a(n-43) +3003*a(n-44) +424*a(n-45) -703*a(n-46) -236*a(n-47) -92*a(n-48) -40*a(n-49) -4*a(n-50) for n>55

%e Some solutions for n=5

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

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

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

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

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

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

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

%Y Cf. A302515.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 09 2018

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Last modified April 24 06:07 EDT 2024. Contains 371918 sequences. (Running on oeis4.)