A259002 Number of (n+2)X(4+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally

34698, 50654, 159480, 225215, 177118, 174655, 49839, 44035, 31798, 31346, 33359, 29874, 33443, 30974, 36017, 28870, 34352, 39506, 30399, 36536, 31808, 32858, 35797, 32346, 35933, 33482, 38527, 31382, 36866, 42022, 32917, 39056, 34330, 35382, 38323

Offset

1,1

Comments

Column 4 of A259006

Links

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

Formula

Empirical: a(n) = 2*a(n-1) -a(n-2) +a(n-12) -2*a(n-13) +a(n-14) for n>27

Empirical for n mod 12 = 0: a(n) = (1/12)*n^2 + (617/3)*n + 27362 for n>13

Empirical for n mod 12 = 1: a(n) = (1/12)*n^2 + (617/3)*n + (122957/4) for n>13

Empirical for n mod 12 = 2: a(n) = (1/12)*n^2 + (617/3)*n + (84235/3) for n>13

Empirical for n mod 12 = 3: a(n) = (1/12)*n^2 + (617/3)*n + (131653/4) for n>13

Empirical for n mod 12 = 4: a(n) = (1/12)*n^2 + (617/3)*n + 25558 for n>13

Empirical for n mod 12 = 5: a(n) = (1/12)*n^2 + (617/3)*n + (369979/12) for n>13

Empirical for n mod 12 = 6: a(n) = (1/12)*n^2 + (617/3)*n + 35777 for n>13

Empirical for n mod 12 = 7: a(n) = (1/12)*n^2 + (617/3)*n + (105845/4) for n>13

Empirical for n mod 12 = 8: a(n) = (1/12)*n^2 + (617/3)*n + (97168/3) for n>13

Empirical for n mod 12 = 9: a(n) = (1/12)*n^2 + (617/3)*n + (109809/4) for n>13

Empirical for n mod 12 = 10: a(n) = (1/12)*n^2 + (617/3)*n + 28293 for n>13

Empirical for n mod 12 = 11: a(n) = (1/12)*n^2 + (617/3)*n + (372271/12) for n>13

Example

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

Crossrefs

Cf. A259006

Sequence in context: A172838 A172681 A251448 * A259009 A256900 A236141

Adjacent sequences: A258999 A259000 A259001 * A259003 A259004 A259005

Keyword

nonn

Author

R. H. Hardin, Jun 16 2015

Status

approved