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!)
A304423 Number of nX4 0..1 arrays with every element unequal to 1, 2, 3, 4 or 5 king-move adjacent elements, with upper left element zero. 1

%I #4 May 12 2018 09:36:10

%S 2,98,836,9304,98190,1043316,11085965,117776344,1251440091,

%T 13296698887,141282534547,1501176250129,15950560545711,

%U 169480731712933,1800797193985691,19134156795751211,203307718376574247

%N Number of nX4 0..1 arrays with every element unequal to 1, 2, 3, 4 or 5 king-move adjacent elements, with upper left element zero.

%C Column 4 of A304427.

%H R. H. Hardin, <a href="/A304423/b304423.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-1) +48*a(n-2) -12*a(n-3) -721*a(n-4) -2134*a(n-5) -2589*a(n-6) +1722*a(n-7) +7674*a(n-8) +10350*a(n-9) +4698*a(n-10) -1865*a(n-11) -5462*a(n-12) -2001*a(n-13) -4274*a(n-14) -7320*a(n-15) -6688*a(n-16) -1106*a(n-17) +2603*a(n-18) +631*a(n-19) +1682*a(n-20) +357*a(n-21) +1545*a(n-22) -138*a(n-23) -106*a(n-24) -73*a(n-25) +61*a(n-26) +20*a(n-27) for n>28

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A304427.

%K nonn

%O 1,1

%A _R. H. Hardin_, May 12 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 19:51 EDT 2024. Contains 371963 sequences. (Running on oeis4.)