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!)
A235184 Number of (n+1) X (6+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). 1

%I #8 Jun 19 2022 02:19:07

%S 13736,27080,52328,112432,236376,540368,1204056,2877232,6679048,

%T 16488928,39445720,99822000,244423864,630666960,1573863272,4125440160,

%U 10464500824,27797234032,71547566680,192285485520,501651854792,1362516822208

%N Number of (n+1) X (6+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).

%H R. H. Hardin, <a href="/A235184/b235184.txt">Table of n, a(n) for n = 1..187</a>

%F Empirical: a(n) = 4*a(n-1) +41*a(n-2) -177*a(n-3) -709*a(n-4) +3405*a(n-5) +6658*a(n-6) -37423*a(n-7) -35857*a(n-8) +259792*a(n-9) +100713*a(n-10) -1189883*a(n-11) -44519*a(n-12) +3652705*a(n-13) -650588*a(n-14) -7506845*a(n-15) +2237158*a(n-16) +10206566*a(n-17) -3478912*a(n-18) -9024208*a(n-19) +2879248*a(n-20) +5075680*a(n-21) -1279200*a(n-22) -1728912*a(n-23) +283680*a(n-24) +319968*a(n-25) -24192*a(n-26) -24192*a(n-27).

%e Some solutions for n=4:

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

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

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

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

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

%Y Column 6 of A235186.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 04 2014

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 18 12:53 EDT 2024. Contains 371780 sequences. (Running on oeis4.)