A255087 Number of (n+2)X(4+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

1483, 2005, 3696, 9484, 24034, 63535, 169879, 457314, 1242486, 3394161, 9273737, 25300189, 68975401, 188221278, 514748790, 1410140486, 3863219328, 10570719404, 28893962892, 78972139302, 216015856441, 591406897153, 1619533468070

Offset

1,1

Comments

Column 4 of A255091

Links

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

Formula

Empirical: a(n) = a(n-1) +a(n-2) +12*a(n-3) -13*a(n-4) +207*a(n-6) -38*a(n-7) -181*a(n-8) -2510*a(n-9) +325*a(n-10) +2028*a(n-11) -4435*a(n-12) +210*a(n-13) +2022*a(n-14) +55633*a(n-15) -702*a(n-16) -25584*a(n-17) +9187*a(n-18) -61*a(n-19) +950*a(n-20) -120381*a(n-21) +1807*a(n-22) -14157*a(n-23) -24279*a(n-24) +788*a(n-25) +10708*a(n-26) +304919*a(n-27) +572*a(n-28) -139776*a(n-29) -8804*a(n-30) +1368*a(n-31) +18252*a(n-32) +96200*a(n-33) +468*a(n-34) -237744*a(n-35) -6084*a(n-36) +79092*a(n-39) for n>45

Example

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

Crossrefs

Cf. A255091

Sequence in context: A235411 A238253 A035864 * A137365 A137366 A045008

Adjacent sequences: A255084 A255085 A255086 * A255088 A255089 A255090

Keyword

nonn

Author

R. H. Hardin, Feb 14 2015

Status

approved