A258524 Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock sum of the two maximums of the central row and central column plus the two minimums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally

2812, 16473, 85259, 342157, 1323419, 5390288, 22067757, 92613188, 396688542, 1711246125, 7414499804, 32162200369, 139646322721, 607180535028, 2641162279255, 11488782106466, 49977384656614, 217425089392595

Offset

1,1

Comments

Column 2 of A258530

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +10*a(n-2) -36*a(n-3) +8*a(n-4) +12*a(n-5) -350*a(n-6) -716*a(n-7) +3953*a(n-8) +7248*a(n-9) -17127*a(n-10) -23348*a(n-11) +30919*a(n-12) +34304*a(n-13) -19502*a(n-14) -21012*a(n-15) +2114*a(n-16) +5456*a(n-17) -41363*a(n-18) -6768*a(n-19) +95727*a(n-20) -17116*a(n-21) -31961*a(n-22) +47256*a(n-23) -92118*a(n-24) -26560*a(n-25) +102964*a(n-26) +2488*a(n-27) -39794*a(n-28) -3056*a(n-29) +7313*a(n-30) +2120*a(n-31) -808*a(n-32) -292*a(n-33) +16*a(n-34) +16*a(n-35) for n>40

Example

Some solutions for n=3
..0..1..1..0....1..0..0..0....1..0..0..0....0..1..0..1....0..0..1..1
..0..1..0..1....0..0..0..0....1..0..0..0....0..1..0..0....0..0..1..1
..0..1..0..1....0..0..0..0....1..0..1..0....0..1..1..1....1..0..0..1
..0..0..1..1....0..1..1..0....1..0..1..1....0..1..1..0....0..1..1..1
..0..0..1..1....0..1..0..0....1..1..1..0....0..0..0..1....1..1..0..0

Crossrefs

Cf. A258530

Sequence in context: A252048 A254254 A254261 * A258531 A254300 A254916

Adjacent sequences: A258521 A258522 A258523 * A258525 A258526 A258527

Keyword

nonn

Author

R. H. Hardin, Jun 02 2015

Status

approved