The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A234658 T(n,k) is the number of (n+1) X (k+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings). 9

%I #7 Jun 20 2022 20:27:39

%S 160,728,728,3264,2648,3264,15008,9616,9616,15008,67840,37352,28496,

%T 37352,67840,315008,144512,94432,94432,144512,315008,1434624,593048,

%U 315024,274520,315024,593048,1434624,6722048,2414992,1148176,808160

%N T(n,k) is the number of (n+1) X (k+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings).

%C Table starts

%C 160 728 3264 15008 67840 315008 1434624

%C 728 2648 9616 37352 144512 593048 2414992

%C 3264 9616 28496 94432 315024 1148176 4196144

%C 15008 37352 94432 274520 808160 2646344 8731840

%C 67840 144512 315024 808160 2113072 6250544 18735792

%C 315008 593048 1148176 2646344 6250544 16899896 46510768

%C 1434624 2414992 4196144 8731840 18735792 46510768 118121744

%C 6722048 10359416 16491760 31384136 61854032 142026104 335161744

%C 30822400 43905728 64635984 113059808 205847920 438922928 966751344

%C 145614848 194994488 269420656 437774312 742330832 1476803288 3047922832

%H R. H. Hardin, <a href="/A234658/b234658.txt">Table of n, a(n) for n = 1..178</a>

%F Empirical for column k:

%F k=1: a(n) = 4*a(n-1) +44*a(n-2) -176*a(n-3) -480*a(n-4) +1920*a(n-5).

%F k=2: [order 15].

%F k=3: [order 21].

%F k=4: [order 23].

%e Some solutions for n=3, k=4:

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

%e 4 1 1 0 4 3 2 2 2 1 2 4 4 0 0 3 3 1 0 4

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 29 2013

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 June 13 05:35 EDT 2024. Contains 373366 sequences. (Running on oeis4.)