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!)
A234991 T(n,k)=Number of (n+1)X(k+1) 0..5 arrays with every 2X2 subblock having its diagonal sum differing from its antidiagonal sum by 2, with no adjacent elements equal (constant stress tilted 1X1 tilings) 9

%I

%S 90,370,370,1640,1490,1640,7554,6908,6908,7554,35072,35598,34608,

%T 35598,35072,163416,189200,206556,206556,189200,163416,762002,1026784,

%U 1303920,1525462,1303920,1026784,762002,3554334,5628414,8616068,12242044

%N T(n,k)=Number of (n+1)X(k+1) 0..5 arrays with every 2X2 subblock having its diagonal sum differing from its antidiagonal sum by 2, with no adjacent elements equal (constant stress tilted 1X1 tilings)

%C Table starts

%C .......90.......370........1640.........7554..........35072...........163416

%C ......370......1490........6908........35598.........189200..........1026784

%C .....1640......6908.......34608.......206556........1303920..........8616068

%C .....7554.....35598......206556......1525462.......12242044........105948984

%C ....35072....189200.....1303920.....12242044......128653892.......1507413164

%C ...163416...1026784.....8616068....105948984.....1507413164......24740904388

%C ...762002...5628414....58209538....951853990....18608169852.....433293595046

%C ..3554334..31099742...400984904...8853338774...241470307440....8076317372004

%C .16580250.172847074..2799816642..84210673350..3223991647750..155302530533130

%C .77345792.965377320.19780619488.816873730308.44160189525640.3074015131838128

%H R. H. Hardin, <a href="/A234991/b234991.txt">Table of n, a(n) for n = 1..127</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 8]

%F k=2: [order 28]

%F k=3: [order 91]

%e Some solutions for n=3 k=4

%e ..1..0..4..1..5....1..0..1..4..5....4..3..1..0..5....0..2..0..1..0

%e ..0..1..3..2..4....0..1..0..5..4....3..4..0..1..4....1..5..1..0..1

%e ..1..0..4..1..5....5..4..1..4..5....0..3..1..0..1....0..2..0..1..4

%e ..2..3..5..0..2....4..5..0..5..4....3..4..0..1..0....1..5..1..4..5

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jan 02 2014

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 January 25 08:08 EST 2022. Contains 350565 sequences. (Running on oeis4.)