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!)
A206937 Number of 4Xn 0..1 arrays avoiding 0 0 0 horizontally and 0 1 1 vertically 1

%I

%S 12,144,811,6837,55088,410000,3227589,25102409,193788386,1507133620,

%T 11693492167,90677582325,703826743120,5460755855460,42367807894797,

%U 328752895890725,2550786798536934,19791666524580132,153566455887582047

%N Number of 4Xn 0..1 arrays avoiding 0 0 0 horizontally and 0 1 1 vertically

%C Row 4 of A206936

%H R. H. Hardin, <a href="/A206937/b206937.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = -a(n-1) +16*a(n-2) +284*a(n-3) +847*a(n-4) +1819*a(n-5) -6372*a(n-6) -18220*a(n-7) -55347*a(n-8) +68879*a(n-9) +139274*a(n-10) +648892*a(n-11) -473781*a(n-12) -401797*a(n-13) -3963592*a(n-14) +2110836*a(n-15) -80057*a(n-16) +13663197*a(n-17) -5668754*a(n-18) +2666692*a(n-19) -27046299*a(n-20) +8341017*a(n-21) -4950884*a(n-22) +30801116*a(n-23) -6296865*a(n-24) +3755693*a(n-25) -20614026*a(n-26) +2290372*a(n-27) -1349783*a(n-28) +8200897*a(n-29) -284960*a(n-30) +233228*a(n-31) -1895282*a(n-32) -35800*a(n-33) -22846*a(n-34) +234592*a(n-35) +9816*a(n-36) +2512*a(n-37) -12944*a(n-38) -240*a(n-39) -64*a(n-40) +256*a(n-41)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 13 2012

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 October 5 11:32 EDT 2022. Contains 357255 sequences. (Running on oeis4.)