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A223770 T(n,k)=Number of nXk 0..1 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing 8
2, 4, 4, 7, 12, 7, 11, 28, 28, 11, 16, 56, 71, 56, 16, 22, 101, 155, 155, 101, 22, 29, 169, 317, 361, 317, 169, 29, 37, 267, 607, 782, 782, 607, 267, 37, 46, 403, 1097, 1601, 1748, 1601, 1097, 403, 46, 56, 586, 1887, 3141, 3699, 3699, 3141, 1887, 586, 56, 67, 826 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

..2...4....7....11....16.....22.....29.....37......46......56......67.......79

..4..12...28....56...101....169....267....403.....586.....826....1134.....1522

..7..28...71...155...317....607...1097...1887....3112....4950....7631....11447

.11..56..155...361...782...1601...3141...5907...10678...18618...31422....51505

.16.101..317...782..1748...3699...7564..14980...28778...53619...96979...170525

.22.169..607..1601..3699...8007..16742..34096...67890..132115..251110...465910

.29.267.1097..3141..7564..16742..35513..73427..149053..297518..583860..1125118

.37.403.1887..5907.14980..34096..73427.153450..314878..637213.1273700..2513629

.46.586.3112.10678.28778..67890.149053.314878..651075.1327905.2680691..5361746

.56.826.4950.18618.53619.132115.297518.637213.1327905.2723829.5530333.11141645

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..363

FORMULA

Empirical: columns 1..7 are polynomials of degree 2*k for n>0,0,2,4,6,8,10

EXAMPLE

Some solutions for n=3 k=4

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

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

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

CROSSREFS

Column 1 is A000124

Sequence in context: A283543 A297682 A297607 * A223777 A227089 A225900

Adjacent sequences:  A223767 A223768 A223769 * A223771 A223772 A223773

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Mar 27 2013

STATUS

approved

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Last modified March 29 15:16 EDT 2020. Contains 333107 sequences. (Running on oeis4.)