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A223644 T(n,k)=Number of nXk 0..1 arrays with rows, columns, diagonals and antidiagonals unimodal 7
2, 4, 4, 7, 16, 7, 11, 49, 49, 11, 16, 121, 218, 121, 16, 22, 256, 726, 726, 256, 22, 29, 484, 2014, 2962, 2014, 484, 29, 37, 841, 4904, 9808, 9808, 4904, 841, 37, 46, 1369, 10797, 28450, 36947, 28450, 10797, 1369, 46, 56, 2116, 21917, 74599, 120307, 120307, 74599 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

..2....4.....7.....11......16.......22........29........37.........46

..4...16....49....121.....256......484.......841......1369.......2116

..7...49...218....726....2014.....4904.....10797.....21917......41601

.11..121...726...2962....9808....28450.....74599....179991.....404599

.16..256..2014...9808...36947...120307....354726....967582....2469396

.22..484..4904..28450..120307...428187...1370104...4063584...11337648

.29..841.10797..74599..354726..1370104...4682514..14767708...43862845

.37.1369.21917.179991..967582..4063584..14767708..49045356..152945545

.46.2116.41601.404599.2469396.11337648..43862845.152945545..497721760

.56.3136.74635.855417.5941152.29980136.124004457.454159399.1539486460

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..199

FORMULA

Empirical: Columns 1..7 are polynomials of degree 2*k for n > 0,0,0,4,7,13,19

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Column 1 is A000124

Column 2 is A086601

Sequence in context: A237859 A240338 A227103 * A223637 A223620 A227679

Adjacent sequences:  A223641 A223642 A223643 * A223645 A223646 A223647

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Mar 24 2013

STATUS

approved

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Last modified December 2 10:53 EST 2021. Contains 349440 sequences. (Running on oeis4.)