A252047 Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row and column sum not 1 3 6 or 8 and every diagonal and antidiagonal sum 1 3 6 or 8

2440, 2454, 2552, 3030, 6136, 10324, 14924, 28990, 52526, 86904, 166166, 299604, 523624, 1027446, 1865496, 3260232, 6417036, 11920442, 21009316, 40868422, 76543446, 136608534, 264978112, 496150830, 889570920, 1728995462, 3244530418

Offset

1,1

Comments

Column 2 of A252053

Links

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

Formula

Empirical: a(n) = a(n-1) +a(n-2) +21*a(n-3) -12*a(n-4) -31*a(n-5) -170*a(n-6) -29*a(n-7) +374*a(n-8) +665*a(n-9) +1086*a(n-10) -2221*a(n-11) -1299*a(n-12) -6558*a(n-13) +6481*a(n-14) +1496*a(n-15) +17400*a(n-16) -6010*a(n-17) -2977*a(n-18) -19143*a(n-19) -12617*a(n-20) +5757*a(n-21) -1880*a(n-22) +31541*a(n-23) +1574*a(n-24) +20947*a(n-25) -9726*a(n-26) -17177*a(n-27) -16180*a(n-28) -21803*a(n-29) +10851*a(n-30) +6986*a(n-31) +14359*a(n-32) +10348*a(n-33) -1558*a(n-34) -2686*a(n-35) -9514*a(n-36) -2084*a(n-37) +2152*a(n-38) -930*a(n-39) +1144*a(n-40) +1090*a(n-41) +1536*a(n-42) -120*a(n-43) -1024*a(n-44) -180*a(n-45) +120*a(n-47) for n>54

Example

Some solutions for n=4
..0..3..1..3....0..1..1..3....0..3..2..2....0..3..2..2....2..1..1..0
..1..1..2..1....1..2..2..1....2..1..1..0....0..1..1..3....2..2..1..1
..1..1..2..1....3..1..1..0....0..3..2..2....0..0..2..2....3..2..2..1
..0..3..1..0....3..1..1..3....2..1..1..3....2..1..1..0....0..0..2..2
..1..1..2..1....1..2..2..1....3..0..2..2....0..3..2..2....1..3..0..2
..1..1..2..1....3..1..1..3....0..1..1..0....2..1..1..3....1..1..0..3

Crossrefs

Sequence in context: A032734 A345518 A345771 * A083625 A253842 A253835

Adjacent sequences: A252044 A252045 A252046 * A252048 A252049 A252050

Keyword

nonn

Author

R. H. Hardin, Dec 13 2014

Status

approved