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A233301 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays x(i,j) with row sums sum{x(i,j), j=1..k+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing 10
7, 13, 15, 22, 42, 31, 34, 105, 141, 64, 50, 232, 567, 502, 129, 70, 475, 1986, 3556, 1739, 258, 95, 904, 6292, 21957, 21856, 5964, 515, 125, 1632, 18205, 122022, 239330, 135636, 20185, 1029, 161, 2806, 48913, 616439, 2353493, 2694620, 836259, 67609 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....7.....13........22.........34..........50..........70..........95

...15.....42.......105........232.........475.........904........1632

...31....141.......567.......1986........6292.......18205.......48913

...64....502......3556......21957......122022......616439.....2871477

..129...1739.....21856.....239330.....2353493....20916337...170084407

..258...5964....135636....2694620....48504411...789640245.11764401320

..515..20185....836259...30257296..1007309118.30406745215

.1029..67609...5134856..338790472.21022231309

.2055.224165..31326263.3761876941

.4107.737347.190404404

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..84

EXAMPLE

Some solutions for n=4 k=4

..0..1..0..0..1....0..1..1..0..0....0..0..0..0..0....1..0..0..0..1

..0..0..1..1..1....0..0..1..0..1....1..0..0..0..1....0..1..0..1..0

..1..0..0..1..1....1..1..0..0..0....0..0..0..1..1....0..0..1..1..0

..0..1..1..1..1....0..0..0..1..1....0..1..1..0..0....0..0..1..0..1

..0..1..1..1..1....0..0..1..1..1....0..0..0..1..1....0..0..0..1..1

CROSSREFS

Row 1 is A002623(n+1)

Sequence in context: A090503 A059520 A293576 * A274255 A233747 A279831

Adjacent sequences: A233298 A233299 A233300 * A233302 A233303 A233304

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 07 2013

STATUS

approved

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Last modified November 30 08:36 EST 2022. Contains 358438 sequences. (Running on oeis4.)