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!)
A304475 Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 4 or 6 king-move adjacent elements, with upper left element zero. 1

%I

%S 8,24,37,110,297,869,2325,6379,17568,48401,132571,364655,1002589,

%T 2754738,7567524,20801769,57166345,157087321,431686614,1186366477,

%U 3260212654,8959296665,24621148350,67661598847,185940093307,510981495243

%N Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 4 or 6 king-move adjacent elements, with upper left element zero.

%C Column 4 of A304479.

%H R. H. Hardin, <a href="/A304475/b304475.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +3*a(n-2) +7*a(n-3) +7*a(n-4) -14*a(n-5) -28*a(n-6) -56*a(n-7) -65*a(n-8) -77*a(n-9) +31*a(n-10) +280*a(n-11) +458*a(n-12) +484*a(n-13) +398*a(n-14) +320*a(n-15) -333*a(n-16) -1155*a(n-17) -1849*a(n-18) -2523*a(n-19) -2612*a(n-20) -1778*a(n-21) +445*a(n-22) +2555*a(n-23) +4684*a(n-24) +7438*a(n-25) +7323*a(n-26) +4721*a(n-27) +1048*a(n-28) -1452*a(n-29) -6069*a(n-30) -11167*a(n-31) -10559*a(n-32) -6445*a(n-33) -3475*a(n-34) -2108*a(n-35) +2357*a(n-36) +8323*a(n-37) +7696*a(n-38) +5753*a(n-39) +4296*a(n-40) +3014*a(n-41) +73*a(n-42) -2650*a(n-43) -2475*a(n-44) -2110*a(n-45) -2531*a(n-46) -2247*a(n-47) -526*a(n-48) +835*a(n-49) +429*a(n-50) -103*a(n-51) +197*a(n-52) +558*a(n-53) +517*a(n-54) +283*a(n-55) +4*a(n-56) -156*a(n-57) -91*a(n-58) +29*a(n-59) +68*a(n-60) -72*a(n-61) -100*a(n-62) -32*a(n-63) +32*a(n-64) +24*a(n-65) for n>67

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A304479.

%K nonn

%O 1,1

%A _R. H. Hardin_, May 13 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 02:45 EDT 2021. Contains 348048 sequences. (Running on oeis4.)