cp's OEIS Frontend

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.

%I A195281 #7 Jul 22 2025 12:43:55
%S A195281 609309,649112125,68604760497,2266745635377,37235577669213,
%T A195281 383752106451389,2834518121474625,16307551677812033,77247504140304381,
%U A195281 313215736935324573,1118258748766971057,3590779676071640625
%N 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.
%C A195281 Row 5 of A195278
%H A195281 R. H. Hardin, <a href="/A195281/b195281.txt">Table of n, a(n) for n = 1..39</a>
%F A195281 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
%e A195281 Some solutions for n=5
%e A195281 ...0...............0...............0...............0...............0
%e A195281 ...1..6............3..1...........-2..0............4..3...........-3..0
%e A195281 ...0..1..0.........1..1..5........-6.-5-10.........0..5..2........-6.-3.-3
%e A195281 ...5..2..0.-5......5..5..1..4.....-3.-5-10.-6......1..3.-2.-6.....-2..2.-2.-5
%e A195281 ...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
%K A195281 nonn
%O A195281 1,1
%A A195281 _R. H. Hardin_ Sep 14 2011