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!)
A301907 Number of 3Xn 0..1 arrays with every element equal to 0, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Mar 28 2018 16:10:09

%S 4,1,3,2,2,7,12,27,62,160,387,951,2362,5895,14745,36892,92334,231171,

%T 578926,1450251,3633632,9105130,22816655,57178265,143291478,359102513,

%U 899959089,2255439374,5652518690,14166233267,35503222896,88977846175

%N Number of 3Xn 0..1 arrays with every element equal to 0, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

%C Row 3 of A301906.

%H R. H. Hardin, <a href="/A301907/b301907.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +a(n-2) +3*a(n-4) -a(n-6) -4*a(n-7) -17*a(n-8) -30*a(n-9) -27*a(n-10) -36*a(n-11) -6*a(n-12) +4*a(n-13) +22*a(n-14) +36*a(n-15) +46*a(n-16) +32*a(n-17) +22*a(n-18) -4*a(n-19) -11*a(n-20) -6*a(n-21) -19*a(n-22) -4*a(n-23) -9*a(n-24) +4*a(n-25) -a(n-26) +4*a(n-27) -a(n-28) +2*a(n-29) -a(n-30) for n>31

%e All solutions for n=5

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

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

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

%Y Cf. A301906.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 28 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 25 04:42 EDT 2024. Contains 371964 sequences. (Running on oeis4.)