login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A295712 Number of nX4 0..1 arrays with each 1 horizontally or vertically adjacent to 0, 1, 2 or 4 1s. 1

%I

%S 16,209,2580,31985,396571,4919857,61023234,756896741,9388238587,

%T 116447643403,1444365516375,17915279112880,222213300241406,

%U 2756236737260571,34187156860885595,424042564599435284

%N Number of nX4 0..1 arrays with each 1 horizontally or vertically adjacent to 0, 1, 2 or 4 1s.

%C Column 4 of A295716.

%H R. H. Hardin, <a href="/A295712/b295712.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) +29*a(n-2) +146*a(n-3) +207*a(n-4) +226*a(n-5) -429*a(n-6) -36*a(n-7) -458*a(n-8) -1628*a(n-9) -786*a(n-10) +346*a(n-11) +70*a(n-12) +39*a(n-13) +868*a(n-14) +670*a(n-15) -18*a(n-16) -347*a(n-17) -146*a(n-18) +a(n-19) +34*a(n-20) +22*a(n-21) +11*a(n-22) -23*a(n-23) -16*a(n-24) +6*a(n-25) +7*a(n-26) -a(n-28)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A295716.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 26 2017

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 4 07:32 EDT 2020. Contains 333213 sequences. (Running on oeis4.)