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!)
A255787 Number of (n+2)X(3+2) 0..1 arrays with no 3x3 subblock diagonal sum 2 and no antidiagonal sum 2 and no row sum 0 and no column sum 0 1

%I #4 Mar 06 2015 12:30:50

%S 361,491,1050,2141,4908,11631,28009,69326,174169,438621,1112366,

%T 2823355,7188661,18288126,46636012,118746423,302960773,771654913,

%U 1969083737,5015887134,12800207475,32607429469,83213838466,211983036189

%N Number of (n+2)X(3+2) 0..1 arrays with no 3x3 subblock diagonal sum 2 and no antidiagonal sum 2 and no row sum 0 and no column sum 0

%C Column 3 of A255792

%H R. H. Hardin, <a href="/A255787/b255787.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-2) +3*a(n-3) -21*a(n-5) -14*a(n-6) +a(n-7) -53*a(n-8) +37*a(n-9) +31*a(n-10) +148*a(n-11) +71*a(n-12) -103*a(n-13) +164*a(n-14) -107*a(n-15) -125*a(n-16) -391*a(n-17) -208*a(n-18) +267*a(n-19) -156*a(n-20) +175*a(n-21) +270*a(n-22) +577*a(n-23) +137*a(n-24) -450*a(n-25) +3*a(n-26) -123*a(n-27) -181*a(n-28) -354*a(n-29) -29*a(n-30) +254*a(n-31) +103*a(n-32) +72*a(n-33) +36*a(n-34) +109*a(n-35) -17*a(n-36) -85*a(n-37) -53*a(n-38) -9*a(n-39) +3*a(n-40) -16*a(n-41) +11*a(n-42) +12*a(n-43) +11*a(n-44) -6*a(n-46) for n>49

%e Some solutions for n=4

%e ..1..1..0..1..0....1..1..1..1..1....0..1..1..1..1....1..0..1..1..1

%e ..1..0..1..0..1....1..1..0..1..0....1..0..1..0..1....1..1..0..1..1

%e ..1..1..0..1..0....1..0..1..0..1....0..1..0..1..0....1..0..1..0..1

%e ..1..0..1..0..1....0..1..0..1..0....1..0..1..1..1....1..1..0..1..1

%e ..1..1..0..1..1....1..0..1..0..1....0..1..0..1..0....1..0..1..0..1

%e ..1..1..1..1..1....1..1..0..1..1....1..0..1..1..1....1..1..0..1..0

%Y Cf. A255792

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 06 2015

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 23 16:40 EDT 2024. Contains 371916 sequences. (Running on oeis4.)