A256025 Number of (n+2)X(4+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 1 and no column sum 1

352, 1302, 5559, 23134, 96363, 408233, 1736085, 7397708, 31551114, 134520680, 573738336, 2448028836, 10444929115, 44562381948, 190130272304, 811234013543, 3461295273878, 14768282266449, 63011902002326, 268853587166114

Offset

1,1

Comments

Column 4 of A256029

Links

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

Formula

Empirical: a(n) = 5*a(n-1) -4*a(n-2) +13*a(n-3) -18*a(n-4) -96*a(n-5) -8*a(n-6) -84*a(n-7) +593*a(n-8) +1134*a(n-9) -570*a(n-10) -1366*a(n-11) -2884*a(n-12) -2506*a(n-13) +3113*a(n-14) +7715*a(n-15) +6068*a(n-16) -2862*a(n-17) -12037*a(n-18) -10274*a(n-19) +885*a(n-20) +12618*a(n-21) +12966*a(n-22) +2537*a(n-23) -8366*a(n-24) -10145*a(n-25) -4389*a(n-26) +1648*a(n-27) +3742*a(n-28) +2506*a(n-29) +1283*a(n-30) +466*a(n-31) +34*a(n-32) -344*a(n-33) -560*a(n-34) -449*a(n-35) -277*a(n-36) -94*a(n-37) -10*a(n-38) +10*a(n-39) +8*a(n-40) for n>42

Example

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

Crossrefs

Cf. A256029

Sequence in context: A145633 A252250 A235888 * A256771 A256764 A255501

Adjacent sequences: A256022 A256023 A256024 * A256026 A256027 A256028

Keyword

nonn

Author

R. H. Hardin, Mar 13 2015

Status

approved