A224393 Number of 4Xn 0..3 arrays with diagonals and antidiagonals unimodal and rows nondecreasing

256, 10000, 86701, 497958, 2332222, 9331553, 32806574, 103452812, 297410156, 789731500, 1957606141, 4569537752, 10116846904, 21372349639, 43300242010, 84493906854, 159387825448, 291579791772, 518714491591, 899524090772

Offset

1,1

Comments

Row 4 of A224391

Links

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

Formula

Empirical: a(n) = (3551/47900160)*n^12 + (17561/13305600)*n^11 + (410317/21772800)*n^10 + (127787/725760)*n^9 + (394837/290304)*n^8 + (4724393/1209600)*n^7 + (880093831/21772800)*n^6 - (673403/80640)*n^5 + (476636641/1088640)*n^4 + (58121267/907200)*n^3 - (1924453/415800)*n^2 - (1998055/2772)*n + 1906 for n>4

Example

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

Crossrefs

Sequence in context: A191680 A191496 A016960 * A224026 A237966 A205936

Adjacent sequences: A224390 A224391 A224392 * A224394 A224395 A224396

Keyword

nonn

Author

R. H. Hardin Apr 05 2013

Status

approved