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!)
A251785 Number of (n+2)X(2+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 2 3 6 or 7 1

%I #4 Dec 08 2014 20:05:37

%S 1664,2640,6470,14908,35948,85826,210582,525800,1281188,3230514,

%T 8269042,20728732,53387162,139225802,357534236,936054498,2475510686,

%U 6476921720,17167048240,45854800004,121609864088,325220317710,874682014058

%N Number of (n+2)X(2+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 2 3 6 or 7

%C Column 2 of A251791

%H R. H. Hardin, <a href="/A251785/b251785.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +2*a(n-2) +28*a(n-3) -95*a(n-4) -81*a(n-5) -257*a(n-6) +1052*a(n-7) +1214*a(n-8) +1088*a(n-9) -5017*a(n-10) -8156*a(n-11) -5209*a(n-12) +12019*a(n-13) +24363*a(n-14) +21272*a(n-15) -22278*a(n-16) -42991*a(n-17) -38325*a(n-18) +75140*a(n-19) +137588*a(n-20) +93255*a(n-21) -173675*a(n-22) -367845*a(n-23) -268747*a(n-24) +191739*a(n-25) +549835*a(n-26) +446126*a(n-27) -59905*a(n-28) -456401*a(n-29) -424111*a(n-30) -116715*a(n-31) +102625*a(n-32) +158011*a(n-33) +147315*a(n-34) +159556*a(n-35) +105365*a(n-36) -25505*a(n-37) -115405*a(n-38) -104222*a(n-39) -37086*a(n-40) -689*a(n-41) +3639*a(n-42) +9932*a(n-43) +17510*a(n-44) +15235*a(n-45) +5127*a(n-46) -1481*a(n-47) -1542*a(n-48) -920*a(n-49) -1159*a(n-50) -968*a(n-51) -444*a(n-52) +14*a(n-53) +34*a(n-54) +15*a(n-55) +67*a(n-56) +55*a(n-57) +18*a(n-58) -6*a(n-59) -6*a(n-60) for n>66

%e Some solutions for n=4

%e ..3..1..1..2....1..2..2..0....0..3..2..3....2..1..1..3....3..1..0..3

%e ..1..0..3..2....0..3..2..0....2..0..3..2....2..3..0..1....2..0..3..2

%e ..0..3..1..0....0..3..1..0....2..2..0..3....0..1..3..0....0..3..2..0

%e ..3..2..0..3....0..3..2..0....0..3..1..0....3..0..2..3....3..1..0..3

%e ..1..0..3..1....1..3..1..0....2..0..3..1....2..3..0..2....2..0..3..1

%e ..1..3..1..0....0..3..1..0....3..2..0..3....3..2..3..0....0..3..1..1

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 08 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 May 26 04:31 EDT 2024. Contains 372807 sequences. (Running on oeis4.)