A252554 Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 4 6 or 7

2443, 3178, 8329, 24336, 80820, 242136, 748814, 2418811, 7241365, 22589612, 72639968, 217514078, 679385411, 2183688694, 6538414996, 20427497702, 65660270533, 196569208093, 614209968459, 1974446148302, 5909934746924

Offset

1,1

Comments

Column 4 of A252558

Links

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

Formula

Empirical: a(n) = 82*a(n-3) -2429*a(n-6) +33486*a(n-9) -261118*a(n-12) +1295078*a(n-15) -4396152*a(n-18) +10604184*a(n-21) -18276440*a(n-24) +22254797*a(n-27) -19021565*a(n-30) +11461650*a(n-33) -4926134*a(n-36) +1526628*a(n-39) -338818*a(n-42) +51264*a(n-45) -4731*a(n-48) +223*a(n-51) -4*a(n-54) for n>60

Example

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

Crossrefs

Sequence in context: A253929 A233912 A233678 * A259007 A259000 A256898

Adjacent sequences: A252551 A252552 A252553 * A252555 A252556 A252557

Keyword

nonn

Author

R. H. Hardin, Dec 18 2014

Status

approved