cp's OEIS Frontend

A224146 T(n,k)=Number of nXk 0..1 arrays with rows and antidiagonals unimodal and columns nondecreasing.

%I A224146 #6 Jul 23 2025 05:00:45
%S A224146 2,4,3,7,9,4,11,22,16,5,16,46,49,25,6,22,86,124,92,36,7,29,148,275,
%T A224146 272,155,49,8,37,239,554,691,526,242,64,9,46,367,1037,1573,1509,930,
%U A224146 357,81,10,56,541,1831,3296,3827,2985,1536,504,100,11,67,771,3082,6472,8838
%N A224146 T(n,k)=Number of nXk 0..1 arrays with rows and antidiagonals unimodal and columns nondecreasing.
%C A224146 Table starts
%C A224146 ..2...4...7...11....16....22.....29......37......46......56.......67.......79
%C A224146 ..3...9..22...46....86...148....239.....367.....541.....771.....1068.....1444
%C A224146 ..4..16..49..124...275...554...1037....1831....3082....4984.....7789....11818
%C A224146 ..5..25..92..272...691..1573...3296....6472...12058...21506....36961....61517
%C A224146 ..6..36.155..526..1509..3827...8838...18969...38392...74053...137204...245636
%C A224146 ..7..49.242..930..2985..8375..21183...49365..107697..222603...439909...837071
%C A224146 ..8..64.357.1536..5471.16885..46586..117510..275557..608423..1277544..2571226
%C A224146 ..9..81.504.2404..9431.31841..95455..259927..653980.1540542..3433254..7299542
%C A224146 .10.100.687.3602.15457.56783.184222..539980.1454873.3651978..8632537.19383022
%C A224146 .11.121.910.5206.24285.96579.337727.1062305.3058144.8167578.20458857.48492125
%H A224146 R. H. Hardin, <a href="/A224146/b224146.txt">Table of n, a(n) for n = 1..925</a>
%F A224146 Empirical: columns k=1..7 are polynomials of degree k for n>0,0,0,1,2,3,4
%F A224146 Empirical: rows n=1..7 are polynomials of degree 2*n
%e A224146 Some solutions for n=3 k=4
%e A224146 ..0..0..0..0....0..0..0..0....0..0..0..0....1..1..0..0....0..0..0..0
%e A224146 ..1..1..0..0....0..1..0..0....0..1..1..0....1..1..0..0....0..0..0..1
%e A224146 ..1..1..1..1....0..1..1..1....0..1..1..0....1..1..1..0....1..1..1..1
%Y A224146 Column 1 is A000027(n+1)
%Y A224146 Column 2 is A000290(n+1)
%Y A224146 Row 1 is A000124
%Y A224146 Row 2 is A223718
%K A224146 nonn,tabl
%O A224146 1,1
%A A224146 _R. H. Hardin_ Mar 31 2013