A252981 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A252981

Number of nX6 nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 2 and every value increasing by 0 or 1 with every step right, diagonally se or down

10, 85, 851, 8487, 67537, 432842, 5672484, 36112108, 129234988, 322183180, 635379492, 1074743076, 1640984356, 2334103332, 3154100004, 4100974372, 5174726436, 6375356196, 7702863652, 9157248804, 10738511652, 12446652196

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Column 6 of A252983

LINKS

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

FORMULA

Empirical: a(n) = 63438848*n^2 - 1019729920*n + 4176308004 for n>10

EXAMPLE

Some solutions for n=4

..0..1..1..1..1..2....0..1..1..1..2..2....0..1..2..2..2..2....0..0..1..1..1..1

..0..1..1..1..2..2....0..1..1..2..2..2....1..1..2..2..2..3....1..1..1..2..2..2

..0..1..1..1..2..3....1..1..1..2..2..2....1..1..2..2..2..3....1..2..2..2..2..3

..1..1..2..2..2..3....1..1..1..2..2..3....1..2..2..2..2..3....2..2..2..3..3..3

CROSSREFS

Sequence in context: A347003 A346923 A145146 * A184122 A228123 A163412

Adjacent sequences: A252978 A252979 A252980 * A252982 A252983 A252984

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 25 2014

STATUS

approved