cp's OEIS Frontend

A219595 T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nXk array.

%I A219595 #6 Jul 23 2025 00:33:58
%S A219595 3,3,3,6,7,6,10,18,21,10,15,34,84,46,15,21,55,233,264,87,21,28,81,550,
%T A219595 1114,705,151,28,36,112,1188,4152,4350,1739,247,36,45,148,2415,14793,
%U A219595 26006,16117,4129,386,45,55,189,4684,51122,156964,164075,60252,9518,581
%N A219595 T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nXk array.
%C A219595 Table starts
%C A219595 ..3....3.....6......10.......15........21........28........36.........45
%C A219595 ..3....7....18......34.......55........81.......112.......148........189
%C A219595 ..6...21....84.....233......550......1188......2415......4684.......8746
%C A219595 .10...46...264....1114.....4152.....14793.....51122....170728.....550156
%C A219595 .15...87...705....4350....26006....156964....939006...5466749...30837420
%C A219595 .21..151..1739...16117...164075...1767430..18945258.197089634.1981970463
%C A219595 .28..247..4129...60252..1093496..21435360.415752625
%C A219595 .36..386..9518..226309..7362866.259297241
%C A219595 .45..581.21271..831045.47724022
%C A219595 .55..847.46019.2932198
%C A219595 .66.1201.96412
%C A219595 .78.1662
%H A219595 R. H. Hardin, <a href="/A219595/b219595.txt">Table of n, a(n) for n = 1..97</a>
%e A219595 Some solutions for n=3 k=4
%e A219595 ..1..1..0..0....0..0..0..0....0..0..0..0....1..1..0..0....2..1..0..0
%e A219595 ..1..1..1..0....1..0..0..0....1..0..0..0....1..1..1..0....2..1..1..0
%e A219595 ..1..1..0..0....1..2..2..1....1..2..0..0....2..2..0..0....2..1..1..1
%Y A219595 Row and Column 1 are A000217 for n>1
%Y A219595 Row 2 is A000566 for n>1
%K A219595 nonn,tabl
%O A219595 1,1
%A A219595 _R. H. Hardin_ Nov 23 2012