A255088 Number of (n+2)X(5+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

3658, 4405, 8631, 24034, 70938, 211945, 644545, 1975790, 5959612, 17859777, 54088734, 164536929, 504055531, 1549704102, 4715077907, 14275563536, 43348350478, 131770446808, 402647526074, 1233717507915, 3759693002179

Offset

1,1

Comments

Column 5 of A255091

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +17*a(n-3) -37*a(n-4) +19*a(n-5) +415*a(n-6) -469*a(n-7) -323*a(n-8) -7131*a(n-9) +8173*a(n-10) +5833*a(n-11) -19533*a(n-12) +13435*a(n-13) +5312*a(n-14) +236241*a(n-15) -243777*a(n-16) -104880*a(n-17) +140460*a(n-18) -32856*a(n-19) +22328*a(n-20) -687820*a(n-21) +670596*a(n-22) -453340*a(n-23) +335929*a(n-24) +108738*a(n-25) -42419*a(n-26) +2206909*a(n-27) -2155874*a(n-28) +844778*a(n-29) -969478*a(n-30) +124513*a(n-31) +110628*a(n-32) +2023531*a(n-33) -2132395*a(n-34) -2226420*a(n-35) +2064996*a(n-36) +164844*a(n-37) +196992*a(n-38) +2508228*a(n-39) -2716164*a(n-40) -3950784*a(n-41) +3950784*a(n-42) for n>51

Example

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

Crossrefs

Cf. A255091

Sequence in context: A252678 A307937 A190923 * A283732 A283202 A365612

Adjacent sequences: A255085 A255086 A255087 * A255089 A255090 A255091

Keyword

nonn

Author

R. H. Hardin, Feb 14 2015

Status

approved