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!)
A233897 Number of (n+1) X (1+1) 0..6 arrays with every 2 X 2 subblock having the sum of the squares of all six edge and diagonal differences equal to 35. 1

%I #9 Oct 12 2018 08:29:28

%S 144,656,2688,12288,51200,233984,987136,4503552,19185664,87351296,

%T 375062528,1704296448,7364935680,33408548864,145134452736,

%U 657383227392,2868195098624,12975463202816,56813072416768,256757263761408

%N Number of (n+1) X (1+1) 0..6 arrays with every 2 X 2 subblock having the sum of the squares of all six edge and diagonal differences equal to 35.

%H R. H. Hardin, <a href="/A233897/b233897.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 44*a(n-2) - 608*a(n-4) + 2560*a(n-6).

%F Empirical g.f.: 16*x*(9 + 41*x - 228*x^2 - 1036*x^3 + 1280*x^4 + 5760*x^5) / ((1 - 4*x)*(1 + 4*x)*(1 - 8*x^2)*(1 - 20*x^2)). - _Colin Barker_, Oct 12 2018

%e Some solutions for n=5:

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

%e ..0..2....5..1....2..5....3..5....2..6....3..5....5..4....0..4....4..3....5..4

%e ..1..4....4..3....3..1....2..1....4..5....1..2....2..6....1..2....5..1....2..6

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

%e ..1..2....4..3....2..6....2..1....5..4....1..4....2..0....4..1....4..6....6..2

%e ..5..3....0..2....5..4....4..0....2..6....0..2....1..4....5..3....5..2....4..3

%Y Column 1 of A233903.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 17 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 August 5 08:50 EDT 2024. Contains 374949 sequences. (Running on oeis4.)