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!)
A299123 Number of n X 3 0..1 arrays with every element equal to 0, 1, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero. 1

%I #6 May 11 2023 14:36:19

%S 3,4,9,23,31,184,427,1115,4128,11024,32827,104959,302093,917104,

%T 2804565,8324555,25231517,76267810,228857830,691699768,2085676297,

%U 6280152762,18952185100,57128981249,172189537544,519305913429,1565482526696

%N Number of n X 3 0..1 arrays with every element equal to 0, 1, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero.

%C Column 3 of A299128.

%H R. H. Hardin, <a href="/A299123/b299123.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +4*a(n-2) +16*a(n-3) -13*a(n-4) -35*a(n-5) -62*a(n-6) +28*a(n-7) +65*a(n-8) +36*a(n-9) +61*a(n-10) +59*a(n-11) -34*a(n-12) -64*a(n-13) -36*a(n-14) -40*a(n-15) +3*a(n-16) +18*a(n-17) +2*a(n-18) for n>19.

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A299128.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 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 March 28 10:55 EDT 2024. Contains 371241 sequences. (Running on oeis4.)