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!)
A233898 Number of (n+1)X(2+1) 0..6 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 35 1

%I #4 Dec 17 2013 12:27:36

%S 656,2944,12152,62064,278416,1521520,7123728,40312912,192972032,

%T 1110694824,5379964888,31200431816,152157236872,884893854040,

%U 4334249058400,25217788360240,123909677614064,720428921323016

%N Number of (n+1)X(2+1) 0..6 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 35

%C Column 2 of A233903

%H R. H. Hardin, <a href="/A233898/b233898.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) +100*a(n-2) -653*a(n-3) -3922*a(n-4) +29350*a(n-5) +75333*a(n-6) -716686*a(n-7) -663724*a(n-8) +10557778*a(n-9) -189287*a(n-10) -98135157*a(n-11) +62654351*a(n-12) +580526450*a(n-13) -642463362*a(n-14) -2125031984*a(n-15) +3275337984*a(n-16) +4379131280*a(n-17) -9343912016*a(n-18) -3557715392*a(n-19) +14269816000*a(n-20) -2397660416*a(n-21) -9497517824*a(n-22) +4983344128*a(n-23) +925209600*a(n-24) -965386240*a(n-25) +130457600*a(n-26)

%e Some solutions for n=4

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

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

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

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

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

%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 June 15 22:50 EDT 2024. Contains 373412 sequences. (Running on oeis4.)