|
|
A224038
|
|
T(n,k)=Number of nXk 0..1 arrays with antidiagonals unimodal and rows and diagonals nondecreasing
|
|
12
|
|
|
2, 3, 4, 4, 8, 8, 5, 13, 21, 16, 6, 19, 37, 55, 32, 7, 26, 58, 105, 144, 64, 8, 34, 85, 168, 298, 377, 128, 9, 43, 119, 252, 488, 848, 987, 256, 10, 53, 161, 363, 734, 1422, 2419, 2584, 512, 11, 64, 212, 508, 1064, 2149, 4160, 6908, 6765, 1024, 12, 76, 273, 695, 1505, 3107
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Table starts
....2.....3.....4......5......6......7......8......9.....10.....11......12
....4.....8....13.....19.....26.....34.....43.....53.....64.....76......89
....8....21....37.....58.....85....119....161....212....273....345.....429
...16....55...105....168....252....363....508....695....933...1232....1603
...32...144...298....488....734...1064...1505...2091...2864...3875....5185
...64...377...848...1422...2149...3107...4395...6124...8439..11527...15626
..128...987..2419...4160...6321...9125..12856..17875..24623..33686...45837
..256..2584..6908..12214..18673..26928..37808..52356..71923..98238..133616
..512..6765.19737..35960..55373..79800.111683.154076.210890.287271..389967
.1024.17711.56401.106072.164729.237348.331170.455195.620860.843084.1141689
|
|
LINKS
|
|
|
FORMULA
|
Empirical: columns k=1..7 have recurrences of order 1,2,5,7,9,11,13 for n>0,0,0,10,13,16
Empirical: rows n=1..7 are polynomials of degree n for k>0,0,1,2,3,4,5
|
|
EXAMPLE
|
Some solutions for n=3 k=4
..0..0..0..1....1..1..1..1....0..0..0..1....0..0..0..1....0..0..0..1
..0..1..1..1....1..1..1..1....1..1..1..1....0..0..0..0....0..1..1..1
..0..0..1..1....0..1..1..1....1..1..1..1....0..0..0..0....1..1..1..1
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|