A255144 Number of (n+2)X(3+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 and no antidiagonal sum 0 and no row sum 1 and no column sum 1

302, 1310, 6271, 29731, 143993, 706102, 3459923, 16957488, 83205092, 408315639, 2003566051, 9831961991, 48249518620, 236778459253, 1161959879468, 5702194584692, 27982924519531, 137323198309819, 673899011155549

Offset

1,1

Comments

Column 3 of A255149

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 4*a(n-1) +41*a(n-3) -48*a(n-4) -135*a(n-5) -522*a(n-6) -219*a(n-7) +1891*a(n-8) +4924*a(n-9) +4392*a(n-10) -9079*a(n-11) -29282*a(n-12) -30044*a(n-13) +21997*a(n-14) +94358*a(n-15) +115236*a(n-16) -5139*a(n-17) -175638*a(n-18) -251694*a(n-19) -98634*a(n-20) +162269*a(n-21) +320330*a(n-22) +226426*a(n-23) -21417*a(n-24) -213676*a(n-25) -227052*a(n-26) -84522*a(n-27) +50380*a(n-28) +109778*a(n-29) +67360*a(n-30) +15470*a(n-31) -23714*a(n-32) -20239*a(n-33) -10944*a(n-34) +866*a(n-35) +2287*a(n-36) +2134*a(n-37) +245*a(n-38) +67*a(n-39) -166*a(n-40) -6*a(n-41) -12*a(n-42)

Example

Some solutions for n=4
..0..1..1..0..1....0..1..1..1..0....0..1..1..1..1....1..0..1..1..1
..1..1..0..1..1....1..1..0..1..1....1..0..1..1..1....1..1..1..1..0
..1..1..1..1..1....1..0..1..1..1....1..1..1..0..1....0..1..1..0..1
..1..0..1..1..0....1..1..1..1..1....0..1..1..1..1....1..1..1..1..1
..1..1..1..1..1....1..1..1..0..1....1..1..0..1..1....1..0..1..1..0
..1..1..1..0..1....1..1..1..1..0....1..1..1..1..0....1..1..1..0..1

Crossrefs

Cf. A255149

Sequence in context: A258449 A261677 A004227 * A098241 A252605 A252598

Adjacent sequences: A255141 A255142 A255143 * A255145 A255146 A255147

Keyword

nonn

Author

R. H. Hardin, Feb 15 2015

Status

approved