A253846 Number of (6+2)X(n+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally

263476, 265117, 201331, 204420, 209862, 295098, 427510, 627452, 963880, 1514191, 2521112, 4297857, 7398589, 12871519, 22452335, 38934291, 66781746, 113008987, 188383014, 309220327, 499665691, 795228954, 1247306057, 1929511720

Offset

1,1

Comments

Row 6 of A253841

Links

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

R. H. Hardin, polynomial of degree 16 plus a quasipolynomial of degree 5 with period 24

Formula

Empirical: a(n) = 11*a(n-1) -57*a(n-2) +187*a(n-3) -438*a(n-4) +770*a(n-5) -1004*a(n-6) +836*a(n-7) +16*a(n-8) -1584*a(n-9) +3490*a(n-10) -4982*a(n-11) +5197*a(n-12) -3551*a(n-13) +69*a(n-14) +4497*a(n-15) -8822*a(n-16) +11410*a(n-17) -11134*a(n-18) +7706*a(n-19) -1848*a(n-20) -4920*a(n-21) +10772*a(n-22) -14140*a(n-23) +14140*a(n-24) -10772*a(n-25) +4920*a(n-26) +1848*a(n-27) -7706*a(n-28) +11134*a(n-29) -11410*a(n-30) +8822*a(n-31) -4497*a(n-32) -69*a(n-33) +3551*a(n-34) -5197*a(n-35) +4982*a(n-36) -3490*a(n-37) +1584*a(n-38) -16*a(n-39) -836*a(n-40) +1004*a(n-41) -770*a(n-42) +438*a(n-43) -187*a(n-44) +57*a(n-45) -11*a(n-46) +a(n-47) for n>71

Example

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

Crossrefs

Sequence in context: A170792 A170801 A340907 * A253839 A253933 A237778

Adjacent sequences: A253843 A253844 A253845 * A253847 A253848 A253849

Keyword

nonn

Author

R. H. Hardin, Jan 16 2015

Status

approved