A252982 Number of nX7 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

15, 145, 1836, 27905, 433401, 5672484, 60650883, 766674140, 4970634131, 18692194423, 49050683133, 101029007619, 176694157069, 276519316503, 400550856993, 548788778539, 721233081141, 917883764799, 1138740829513

Offset

1,1

Comments

Column 7 of A252983

Links

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

Formula

Empirical: a(n) = 12103190528*n^2 - 226960984822*n + 1081747760523 for n>12

Example

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

Crossrefs

Sequence in context: A206810 A025440 A155638 * A245755 A240419 A069417

Adjacent sequences: A252979 A252980 A252981 * A252983 A252984 A252985

Keyword

nonn

Author

R. H. Hardin, Dec 25 2014

Status

approved