The On-Line Encyclopedia of Integer Sequences (OEIS)

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A224064

T(n,k)=Number of nXk 0..3 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing
(history; published version)

#4 by R. H. Hardin at Sat Mar 30 11:57:59 EDT 2013

STATUS

editing

approved

#3 by R. H. Hardin at Sat Mar 30 11:57:52 EDT 2013

LINKS

R. H. Hardin, <a href="/A224064/b224064.txt">Table of n, a(n) for n = 1..112</a>

#2 by R. H. Hardin at Sat Mar 30 11:57:38 EDT 2013

NAME

allocated for R. H. Hardin

T(n,k)=Number of nXk 0..3 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing

DATA

4, 16, 16, 50, 160, 50, 130, 984, 984, 130, 296, 4580, 8854, 4580, 296, 610, 17723, 58814, 58814, 17723, 610, 1163, 59792, 324702, 506513, 324702, 59792, 1163, 2083, 180821, 1557606, 3509115, 3509115, 1557606, 180821, 2083, 3544, 499357, 6643979

OFFSET

1,1

COMMENTS

Table starts

....4......16........50.........130..........296..........610.........1163

...16.....160.......984........4580........17723........59792.......180821

...50.....984......8854.......58814.......324702......1557606......6643979

..130....4580.....58814......506513......3509115.....21167501....114643788

..296...17723....324702.....3509115.....28682690....200974242...1274747540

..610...59792...1557606....21167501....200974242...1573171210..11060805360

.1163..180821...6643979...114643788...1274747540..11060805360..83942450048

.2083..499357..25596389...564290412...7460451193..72498474377.591725806925

.3544.1276595..90177585..2542634801..40485099654.448019196499

.5776.3053471.293585050.10557558941.203984697906

FORMULA

Empirical: columns k=1..5 are polynomials of degree 6*k for n>0,0,3,7,11

EXAMPLE

Some solutions for n=3 k=4

..1..2..2..1....0..0..1..1....0..0..2..2....0..1..0..0....0..1..1..0

..0..2..2..2....0..1..1..1....0..0..2..2....0..2..1..0....0..1..2..2

..0..3..3..2....0..1..1..1....0..0..1..3....1..2..3..1....0..1..2..2

CROSSREFS

Column 1 is A223659

KEYWORD

allocated

nonn,tabl

AUTHOR

R. H. Hardin Mar 30 2013

STATUS

approved

editing

#1 by R. H. Hardin at Sat Mar 30 11:47:48 EDT 2013

NAME

allocated for R. H. Hardin

KEYWORD

allocated

STATUS

approved