login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

Number of nX5 0..1 arrays with every element unequal to 0, 1, 3, 5 or 7 king-move adjacent elements, with upper left element zero.
1

%I #4 May 21 2018 09:22:05

%S 8,53,54,173,452,1034,2265,5306,12135,28127,66067,153211,354736,

%T 824768,1914999,4443576,10323903,23978120,55672201,129295766,

%U 300273962,697273340,1619276716,3760493158,8732808930,20280042854,47096264941

%N Number of nX5 0..1 arrays with every element unequal to 0, 1, 3, 5 or 7 king-move adjacent elements, with upper left element zero.

%C Column 5 of A304931.

%H R. H. Hardin, <a href="/A304928/b304928.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +3*a(n-3) -2*a(n-4) -a(n-5) +6*a(n-6) -15*a(n-7) -7*a(n-8) -10*a(n-9) -3*a(n-10) -13*a(n-11) -13*a(n-12) +62*a(n-13) +39*a(n-14) +29*a(n-15) +13*a(n-16) +55*a(n-17) +10*a(n-18) -64*a(n-19) -46*a(n-20) -12*a(n-21) -90*a(n-22) -58*a(n-23) +22*a(n-24) -20*a(n-25) +5*a(n-26) -39*a(n-27) +8*a(n-28) +34*a(n-29) +37*a(n-30) -4*a(n-31) +9*a(n-32) -6*a(n-33) +4*a(n-34) for n>45

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A304931.

%K nonn

%O 1,1

%A _R. H. Hardin_, May 21 2018