A252987 Number of (n+2)X(1+2) 0..2 arrays with every consecutive three elements in every row and column having exactly 2 distinct values, in every diagonal 1 or 2 distinct values, in every antidiagonal 2 or 3 distinct values, and new values 0 upwards introduced in row major order

202, 829, 3548, 15395, 66914, 291448, 1269628, 5531792, 24108466, 105070388, 457926770, 1995843061, 8698761305, 37913118197, 165243270560, 720208424309, 3139011001191, 13681314179587, 59629728953096, 259894985222840

Offset

1,1

Comments

Column 1 of A252993

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +14*a(n-2) +25*a(n-3) -101*a(n-4) -457*a(n-5) -183*a(n-6) +2025*a(n-7) +5432*a(n-8) +127*a(n-9) -20138*a(n-10) -31828*a(n-11) +5588*a(n-12) +102668*a(n-13) +111864*a(n-14) -59882*a(n-15) -227784*a(n-16) -157965*a(n-17) +94626*a(n-18) -99660*a(n-19) -288965*a(n-20) +725635*a(n-21) +1838138*a(n-22) +905070*a(n-23) -2683595*a(n-24) -4230035*a(n-25) +571657*a(n-26) +2875383*a(n-27) -520885*a(n-28) -2707284*a(n-29) +4626893*a(n-30) +12677390*a(n-31) +1769938*a(n-32) -15268441*a(n-33) -17787506*a(n-34) +2417188*a(n-35) +18496008*a(n-36) +7064761*a(n-37) -8689538*a(n-38) -9457046*a(n-39) +2429334*a(n-40) +9233950*a(n-41) +1569475*a(n-42) -4008631*a(n-43) -1885361*a(n-44) +494664*a(n-45) +1186868*a(n-46) -33836*a(n-47) -239260*a(n-48) +74016*a(n-49) -2880*a(n-50) -14176*a(n-51) +3136*a(n-52)

Example

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

Crossrefs

Sequence in context: A235082 A260280 A252993 * A229640 A221892 A332120

Adjacent sequences: A252984 A252985 A252986 * A252988 A252989 A252990

Keyword

nonn

Author

R. H. Hardin, Dec 25 2014

Status

approved