A254476 Number of (n+2)X(1+2) 0..1 arrays with every 3X3 subblock diagonal sum minus antidiagonal minimum nondecreasing horizontally and vertically

512, 2696, 12260, 47140, 170504, 586508, 1964388, 6462708, 21003228, 67662328, 216533720, 689480684, 2187191068, 6918332408, 21836278536, 68808353156, 216551437648, 680873827704, 2139217784216, 6717384585616, 21084279168188

Offset

1,1

Comments

Column 1 of A254483

Links

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

Formula

Empirical: a(n) = 6*a(n-1) -8*a(n-2) -9*a(n-3) +19*a(n-4) +4*a(n-5) -22*a(n-6) +23*a(n-7) +5*a(n-8) -162*a(n-9) +276*a(n-10) -83*a(n-11) -50*a(n-12) +218*a(n-13) -326*a(n-14) +66*a(n-15) +9*a(n-16) -60*a(n-17) +78*a(n-18) +5*a(n-19) +23*a(n-20) -6*a(n-21) +4*a(n-22) -a(n-23) -5*a(n-24) -2*a(n-26) -a(n-27) for n>32

Example

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

Crossrefs

Sequence in context: A186832 A254553 A254483 * A254804 A253820 A253813

Adjacent sequences: A254473 A254474 A254475 * A254477 A254478 A254479

Keyword

nonn

Author

R. H. Hardin, Jan 31 2015

Status

approved