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!)
A252470 Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 5 6 or 8 1

%I

%S 4507,3497,18175,96543,504030,2670237,14105131,74389293,393421203,

%T 2079994072,10983498859,58012068897,306545373256,1619740160758,

%U 8557028037814,45206323422148,238837210760099,1261858577287796

%N Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 5 6 or 8

%C Column 5 of A252473

%H R. H. Hardin, <a href="/A252470/b252470.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +2*a(n-2) +39*a(n-3) +181*a(n-4) +262*a(n-5) +238*a(n-6) -1529*a(n-7) -4996*a(n-8) -1940*a(n-9) +5551*a(n-10) +17305*a(n-11) +23836*a(n-12) -26075*a(n-13) -64360*a(n-14) -11102*a(n-15) +51639*a(n-16) +81824*a(n-17) +35975*a(n-18) -53399*a(n-19) -80282*a(n-20) -59920*a(n-21) -23443*a(n-22) +72246*a(n-23) +40762*a(n-24) -1573*a(n-25) +23887*a(n-26) -59858*a(n-27) +34106*a(n-28) -6361*a(n-29) -81*a(n-30) +24130*a(n-31) -31441*a(n-32) +25513*a(n-33) -20671*a(n-34) +14968*a(n-35) -8162*a(n-36) +4626*a(n-37) -2679*a(n-38) +1036*a(n-39) -411*a(n-40) +180*a(n-41) -13*a(n-42) -16*a(n-43) +5*a(n-44) for n>47

%e Some solutions for n=4

%e ..3..3..3..3..3..1..3....1..3..3..3..3..3..1....3..3..3..3..3..1..3

%e ..3..3..1..3..3..3..3....3..3..3..1..3..3..3....3..3..3..3..3..3..3

%e ..3..3..3..3..3..3..1....3..3..3..3..3..3..3....1..3..3..3..3..3..1

%e ..3..1..3..3..3..3..3....3..3..3..3..3..3..3....3..3..1..3..3..3..3

%e ..3..3..3..1..3..3..3....1..3..3..3..3..3..3....3..3..3..3..3..3..3

%e ..1..3..3..3..3..3..3....3..3..3..1..3..3..3....3..3..3..1..3..3..1

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 17 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 August 17 17:59 EDT 2022. Contains 356189 sequences. (Running on oeis4.)