A252860 Number of (n+2)X(7+2) 0..2 arrays with every consecutive three elements in every row, column, diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order

29241, 9936, 12762, 26766, 58644, 126306, 275598, 596250, 1300068, 2826126, 6150222, 13372920, 29103120, 63319122, 137750292, 299686752, 652050702, 1418684886, 3086460666, 6715111032, 14610041622, 31786923600, 69157031958

Offset

1,1

Comments

Column 7 of A252861

Links

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

Formula

Empirical: a(n) = a(n-1) +4*a(n-2) -2*a(n-3) +4*a(n-4) -4*a(n-5) -29*a(n-6) +5*a(n-7) +4*a(n-8) +75*a(n-10) +79*a(n-11) -11*a(n-12) -163*a(n-13) -167*a(n-14) +3*a(n-15) +123*a(n-16) +135*a(n-17) +58*a(n-18) +4*a(n-19) -32*a(n-20) -39*a(n-21) -84*a(n-22) -61*a(n-23) +26*a(n-24) +47*a(n-25) +62*a(n-26) -3*a(n-27) -17*a(n-28) -21*a(n-29) -4*a(n-30) +6*a(n-31) +a(n-32) +2*a(n-33) -a(n-34) for n>36

Example

Some solutions for n=4
..0..0..1..1..2..2..0..2..0....0..1..0..1..1..2..1..2..1
..1..0..1..0..1..0..0..2..2....1..0..0..2..2..1..1..0..0
..0..2..2..1..1..2..2..0..2....1..1..2..1..2..2..0..2..0
..1..2..2..0..2..0..2..2..1....0..0..2..2..1..1..0..0..1
..1..1..0..0..2..2..0..0..1....0..1..1..2..1..2..1..2..1
..2..2..0..2..0..2..0..2..0....2..1..1..0..0..1..1..0..0

Crossrefs

Sequence in context: A152939 A028462 A357272 * A206470 A194619 A058652

Adjacent sequences: A252857 A252858 A252859 * A252861 A252862 A252863

Keyword

nonn

Author

R. H. Hardin, Dec 23 2014

Status

approved