A305479 - OEIS

%I #6 Aug 19 2022 12:21:15

%S 8,31,40,98,277,577,1245,2868,6381,14206,31630,70391,157783,351429,

%T 782244,1750653,3907576,8711942,19467545,43480329,97049939,216757294,

%U 484138155,1081129678,2414527058,5392770159,12044266507,26899761193

%N Number of n X 5 0..1 arrays with every element unequal to 0, 1, 3, 6 or 8 king-move adjacent elements, with upper left element zero.

%C Column 5 of A305482.

%H R. H. Hardin, <a href="/A305479/b305479.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +19*a(n-3) -11*a(n-4) -151*a(n-6) +38*a(n-7) -4*a(n-8) +656*a(n-9) +2*a(n-10) +40*a(n-11) -1712*a(n-12) -347*a(n-13) -178*a(n-14) +2773*a(n-15) +1001*a(n-16) +448*a(n-17) -2766*a(n-18) -1356*a(n-19) -670*a(n-20) +1610*a(n-21) +976*a(n-22) +580*a(n-23) -476*a(n-24) -352*a(n-25) -264*a(n-26) +48*a(n-27) +48*a(n-28) +48*a(n-29) for n>33.

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A305482.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 02 2018