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!)
A297798 Number of nX4 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2, 3 or 5 neighboring 1s. 1

%I

%S 1,24,100,422,2936,17899,104985,645568,3978117,24326196,149160149,

%T 916286494,5624456404,34523088073,211969293298,1301435980104,

%U 7990173493126,49057461019439,301200758005780,1849287533799779

%N Number of nX4 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2, 3 or 5 neighboring 1s.

%C Column 4 of A297802.

%H R. H. Hardin, <a href="/A297798/b297798.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +8*a(n-2) +78*a(n-3) -160*a(n-4) -479*a(n-5) -2307*a(n-6) +1247*a(n-7) +8040*a(n-8) +26223*a(n-9) +7293*a(n-10) -45535*a(n-11) -126351*a(n-12) -93834*a(n-13) +77482*a(n-14) +231611*a(n-15) +268460*a(n-16) +15257*a(n-17) -117778*a(n-18) -296161*a(n-19) -144406*a(n-20) +17812*a(n-21) +175680*a(n-22) +215312*a(n-23) +98502*a(n-24) -77039*a(n-25) -44779*a(n-26) -73938*a(n-27) +43490*a(n-28) +8246*a(n-29) +12107*a(n-30) -1278*a(n-31) -5045*a(n-32) +257*a(n-33) -259*a(n-34) +109*a(n-35) +43*a(n-36) -6*a(n-37)

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A297802.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 06 2018

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 October 17 00:35 EDT 2021. Contains 348048 sequences. (Running on oeis4.)