A255024 Number of (n+2)X(5+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 0 or 1 and no column sum 0 or 1

601, 3015, 17447, 92217, 480456, 2547757, 13460633, 71027915, 375675337, 1985308048, 10482759493, 55378851627, 292644335768, 1546162330270, 8168095347942, 43152835319622, 227991513370735, 1204546728063170

Offset

1,1

Comments

Column 5 of A255027

Links

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

Formula

Empirical: a(n) = a(n-1) +3*a(n-2) +42*a(n-3) +223*a(n-4) +485*a(n-5) +723*a(n-6) -806*a(n-7) -5802*a(n-8) -7742*a(n-9) -2191*a(n-10) +15114*a(n-11) +38950*a(n-12) +12875*a(n-13) -51485*a(n-14) -62587*a(n-15) -10948*a(n-16) +70876*a(n-17) +106851*a(n-18) +53452*a(n-19) -26830*a(n-20) -86750*a(n-21) -110193*a(n-22) -37947*a(n-23) +2815*a(n-24) +1242*a(n-25) +25129*a(n-26) -34729*a(n-27) -623*a(n-28) -6984*a(n-29) -7065*a(n-30) +17065*a(n-31) -14376*a(n-32) +11137*a(n-33) -9534*a(n-34) +5434*a(n-35) -2728*a(n-36) +1898*a(n-37) -781*a(n-38) +255*a(n-39) -156*a(n-40) +24*a(n-41) +11*a(n-42) -5*a(n-43) for n>45

Example

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

Crossrefs

Cf. A255027

Sequence in context: A031422 A359638 A078966 * A362323 A283923 A302559

Adjacent sequences: A255021 A255022 A255023 * A255025 A255026 A255027

Keyword

nonn

Author

R. H. Hardin, Feb 13 2015

Status

approved