A254973 Number of (n+2)X(3+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 and no column sum 0

1008, 6915, 49040, 260705, 1592767, 9673960, 57587977, 343845199, 2068795871, 12385458149, 74216785472, 444890709067, 2666394867176, 15978893688072, 95772547190118, 573990940015533, 3440077118464417, 20617472050845004

Offset

1,1

Comments

Column 3 of A254978

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +11*a(n-2) +8*a(n-3) +60*a(n-4) -284*a(n-5) -333*a(n-6) -3571*a(n-7) -6011*a(n-8) +24239*a(n-9) +41276*a(n-10) -7771*a(n-11) -56686*a(n-12) -49978*a(n-13) -80570*a(n-14) -243931*a(n-15) +89792*a(n-16) +493579*a(n-17) +457162*a(n-18) -222384*a(n-19) -624692*a(n-20) +52666*a(n-21) +36815*a(n-22) +113184*a(n-23) +75036*a(n-24) +123561*a(n-25) -85349*a(n-26) -87922*a(n-27) -43653*a(n-28) -9850*a(n-29) -9845*a(n-30) -5348*a(n-31) -334*a(n-32) -16*a(n-33) +84*a(n-34) -60*a(n-35) for n>38

Example

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

Crossrefs

Sequence in context: A163557 A241932 A160451 * A092924 A331770 A290286

Adjacent sequences: A254970 A254971 A254972 * A254974 A254975 A254976

Keyword

nonn

Author

R. H. Hardin, Feb 11 2015

Status

approved