A195281 Number of lower triangles of a 5X5 integer array with each element differing from all of its vertical and horizontal neighbors by n or less and triangles differing by a constant counted only once

609309, 649112125, 68604760497, 2266745635377, 37235577669213, 383752106451389, 2834518121474625, 16307551677812033, 77247504140304381, 313215736935324573, 1118258748766971057, 3590779676071640625

Offset

1,1

Comments

Row 5 of A195278

Links

R. H. Hardin, Table of n, a(n) for n = 1..39

Formula

Empirical: a(n) = (735698944/467775)*n^14 + (735698944/66825)*n^13 + (5736600832/155925)*n^12 + (36310211072/467775)*n^11 + (4906182016/42525)*n^10 + (603389056/4725)*n^9 + (4615314688/42525)*n^8 + (3060288256/42525)*n^7 + (176877304/4725)*n^6 + (647154728/42525)*n^5 + (2229757561/467775)*n^4 + (174277454/155925)*n^3 + (1380143/7425)*n^2 + (68144/3465)*n + 1

Example

Some solutions for n=5
...0...............0...............0...............0...............0
...1..6............3..1...........-2..0............4..3...........-3..0
...0..1..0.........1..1..5........-6.-5-10.........0..5..2........-6.-3.-3
...5..2..0.-5......5..5..1..4.....-3.-5-10.-6......1..3.-2.-6.....-2..2.-2.-5
...7..6..3.-2..3...9..6..1.-1..0..-2.-7.-7.-7.-4...1..0.-2.-4.-1...3..0.-5.-4.-8

Crossrefs

Sequence in context: A206175 A205429 A308279 * A235069 A233938 A237784

Adjacent sequences: A195278 A195279 A195280 * A195282 A195283 A195284

Keyword

nonn

Author

R. H. Hardin Sep 14 2011

Status

approved