A255086 Number of (n+2)X(3+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 0

623, 964, 1824, 3696, 8631, 20972, 50587, 121381, 289648, 701088, 1737609, 4327355, 10735123, 26444233, 64662794, 158688694, 392717716, 975036966, 2421077247, 5990164156, 14752122313, 36347205053, 89808485699, 222347952612

Offset

1,1

Comments

Column 3 of A255091

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +7*a(n-3) -17*a(n-4) +9*a(n-5) +109*a(n-6) -137*a(n-7) -63*a(n-8) -799*a(n-9) +1061*a(n-10) +477*a(n-11) -2311*a(n-12) +1787*a(n-13) +718*a(n-14) +13283*a(n-15) -14431*a(n-16) -6966*a(n-17) +10362*a(n-18) -3426*a(n-19) -2288*a(n-20) -22562*a(n-21) +25618*a(n-22) +22752*a(n-23) -27356*a(n-24) +4456*a(n-25) +2308*a(n-26) +32364*a(n-27) -34920*a(n-28) -23400*a(n-29) +23040*a(n-30) +324*a(n-31) +2916*a(n-33) -2916*a(n-34) for n>39

Example

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

Crossrefs

Cf. A255091

Sequence in context: A345556 A345810 A330932 * A158373 A371666 A265119

Adjacent sequences: A255083 A255084 A255085 * A255087 A255088 A255089

Keyword

nonn

Author

R. H. Hardin, Feb 14 2015

Status

approved