A259007 Number of (2+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally

2444, 6271, 18341, 50654, 131557, 317141, 701282, 1467387, 2896645, 5442921, 9816954, 17096392, 28757926, 47075958, 75218973, 117547715, 179888422, 270566220, 400421776, 584035872, 840159021, 1193892062, 1677629192

Offset

1,1

Comments

Row 2 of A259006

Links

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

Formula

Empirical: a(n) = -a(n-1) +7*a(n-3) +15*a(n-4) +10*a(n-5) -19*a(n-6) -77*a(n-7) -98*a(n-8) -23*a(n-9) +186*a(n-10) +405*a(n-11) +372*a(n-12) -83*a(n-13) -867*a(n-14) -1362*a(n-15) -921*a(n-16) +671*a(n-17) +2591*a(n-18) +3274*a(n-19) +1574*a(n-20) -2170*a(n-21) -5593*a(n-22) -5929*a(n-23) -1892*a(n-24) +4569*a(n-25) +9216*a(n-26) +8319*a(n-27) +1527*a(n-28) -7084*a(n-29) -11873*a(n-30) -9193*a(n-31) -568*a(n-32) +8475*a(n-33) +12068*a(n-34) +8049*a(n-35) -499*a(n-36) -7936*a(n-37) -9691*a(n-38) -5529*a(n-39) +1132*a(n-40) +5809*a(n-41) +6104*a(n-42) +2881*a(n-43) -1124*a(n-44) -3289*a(n-45) -2947*a(n-46) -1062*a(n-47) +721*a(n-48) +1407*a(n-49) +1037*a(n-50) +238*a(n-51) -314*a(n-52) -432*a(n-53) -241*a(n-54) -17*a(n-55) +90*a(n-56) +85*a(n-57) +30*a(n-58) -5*a(n-59) -15*a(n-60) -8*a(n-61) -a(n-62) +a(n-63) +a(n-64) for n>82

Example

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

Crossrefs

Cf. A259006

Sequence in context: A233912 A233678 A252554 * A259000 A256898 A255077

Adjacent sequences: A259004 A259005 A259006 * A259008 A259009 A259010

Keyword

nonn

Author

R. H. Hardin, Jun 16 2015

Status

approved