A252936 Number of nX6 nonnegative integer arrays with upper left 0 and every value within 3 of its king move distance from the upper left and every value increasing by 0 or 1 with every step right, diagonally se or down

26, 176, 1343, 10920, 86488, 578342, 2952734, 11219797, 32649081, 76641323, 153453179, 273544411, 447399739, 685504923, 998345723, 1396407899, 1890177211, 2490139419, 3206780283, 4050585563, 5032041019, 6161632411, 7449845499

Offset

1,1

Comments

Column 6 of A252938

Links

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

Formula

Empirical: a(n) = (5242880/3)*n^3 - 36032512*n^2 + (765093664/3)*n - 618047397 for n>10

Example

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

Crossrefs

Sequence in context: A374489 A027001 A173893 * A218083 A042312 A181342

Adjacent sequences: A252933 A252934 A252935 * A252937 A252938 A252939

Keyword

nonn

Author

R. H. Hardin, Dec 24 2014

Status

approved