A253734 Number of (n+2)X(2+2) 0..1 arrays with every 2X2 and 3X3 subblock diagonal sum minus antidiagonal sum unequal to its neighbors horizontally and vertically

720, 1888, 4100, 9876, 25012, 60296, 148328, 369360, 917504, 2284292, 5685480, 14168096, 35364992, 88266608, 220224348, 549719568, 1372906300, 3428376580, 8559482304, 21374102868, 53382093000, 133313369596, 332909642184

Offset

1,1

Comments

Column 2 of A253740

Links

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

Formula

Empirical: a(n) = 11*a(n-3) +24*a(n-4) +17*a(n-5) -21*a(n-6) -193*a(n-7) -221*a(n-8) -167*a(n-9) +437*a(n-10) +997*a(n-11) +983*a(n-12) +100*a(n-13) -2223*a(n-14) -2468*a(n-15) -1870*a(n-16) +2408*a(n-17) +3395*a(n-18) +3858*a(n-19) -1780*a(n-20) -3730*a(n-21) -1293*a(n-22) +978*a(n-23) +8179*a(n-24) -4880*a(n-25) -4479*a(n-26) -13933*a(n-27) -3879*a(n-28) +14170*a(n-29) +16050*a(n-30) +15183*a(n-31) -5070*a(n-32) -14961*a(n-33) -14077*a(n-34) -2352*a(n-35) +6581*a(n-36) +12047*a(n-37) -2573*a(n-38) -7587*a(n-39) -6031*a(n-40) +1173*a(n-41) +2563*a(n-42) +7812*a(n-43) +393*a(n-44) -5243*a(n-45) -1567*a(n-46) +1375*a(n-47) +598*a(n-48) +1763*a(n-49) +251*a(n-50) -874*a(n-51) -214*a(n-52) -164*a(n-53) +56*a(n-54) +8*a(n-55) for n>60

Example

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

Crossrefs

Sequence in context: A291804 A131663 A090392 * A112530 A052800 A321842

Adjacent sequences: A253731 A253732 A253733 * A253735 A253736 A253737

Keyword

nonn

Author

R. H. Hardin, Jan 11 2015

Status

approved