login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A305513 Number of nX5 0..1 arrays with every element unequal to 1, 2, 5, 6 or 8 king-move adjacent elements, with upper left element zero. 1

%I #4 Jun 03 2018 13:18:28

%S 3,8,8,13,62,108,353,982,2362,6902,17966,48328,131033,349168,943670,

%T 2530452,6802772,18299554,49143209,132162126,355171176,954616216,

%U 2566141784,6896886200,18538660531,49829019816,133932941742,359997398044

%N Number of nX5 0..1 arrays with every element unequal to 1, 2, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

%C Column 5 of A305516.

%H R. H. Hardin, <a href="/A305513/b305513.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-2) +14*a(n-3) -2*a(n-4) -38*a(n-5) -64*a(n-6) +16*a(n-7) +112*a(n-8) +111*a(n-9) -62*a(n-10) -171*a(n-11) -43*a(n-12) +149*a(n-13) +175*a(n-14) -97*a(n-15) -180*a(n-16) -41*a(n-17) +216*a(n-18) -141*a(n-19) -266*a(n-20) -25*a(n-21) +610*a(n-22) -32*a(n-23) -398*a(n-24) -103*a(n-25) +472*a(n-26) -53*a(n-27) -237*a(n-28) +143*a(n-29) +191*a(n-30) -202*a(n-31) -227*a(n-32) +24*a(n-33) +51*a(n-34) +31*a(n-35) -a(n-36) -73*a(n-37) +63*a(n-38) +42*a(n-39) -18*a(n-40) -8*a(n-42) +2*a(n-43) +2*a(n-44) -2*a(n-45) for n>49

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A305516.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 03 2018

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 24 04:14 EDT 2024. Contains 371918 sequences. (Running on oeis4.)