A223964 Number of 4Xn 0..3 arrays with antidiagonals unimodal and rows and diagonals nondecreasing

256, 5864, 41006, 176893, 594286, 1718057, 4500818, 10981150, 25334630, 55772240, 117841845, 239976226, 472531867, 902107834, 1673660678, 3023882381, 5330533450, 9183978785, 15489123731, 25608363453, 41559120445, 66283141375

Offset

1,1

Comments

Row 4 of A223961

Links

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

Formula

Empirical: a(n) = (1/1036800)*n^12 + (1/34560)*n^11 + (4379/7257600)*n^10 + (757/80640)*n^9 + (257687/2419200)*n^8 + (82939/80640)*n^7 + (8187071/1036800)*n^6 + (1661651/34560)*n^5 + (117000427/453600)*n^4 + (10787803/20160)*n^3 - (153061829/50400)*n^2 + (3421969/840)*n + 275 for n>5

Example

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

Crossrefs

Sequence in context: A206110 A196152 A113173 * A195595 A204567 A077072

Adjacent sequences: A223961 A223962 A223963 * A223965 A223966 A223967

Keyword

nonn

Author

R. H. Hardin Mar 29 2013

Status

approved