A251158 - OEIS

A251158

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having the minimum of its diagonal elements greater than the absolute difference of its antidiagonal elements

65, 470, 470, 3374, 8407, 3374, 24233, 148833, 148833, 24233, 173990, 2644832, 6441563, 2644832, 173990, 1249276, 46958048, 280327551, 280327551, 46958048, 1249276, 8969854, 833966807, 12175291327, 29975340928, 12175291327, 833966807

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OFFSET

1,1

COMMENTS

Table starts

......65.........470...........3374.............24233...............173990

.....470........8407.........148833...........2644832.............46958048

....3374......148833........6441563.........280327551..........12175291327

...24233.....2644832......280327551.......29975340928........3196108892595

..173990....46958048....12175291327.....3196108892595......835576868190958

.1249276...833966807...529076339144...341101055365828...218733576114347625

.8969854.14810089440.22986742140730.36393433887011865.57234316992797718831

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..179

FORMULA

Empirical for column k:

k=1: a(n) = 7*a(n-1) +4*a(n-2) -20*a(n-3) +3*a(n-4) +8*a(n-5) -4*a(n-6)

k=2: [order 16]

k=3: [order 37]

EXAMPLE

Some solutions for n=2 k=4

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

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

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

CROSSREFS

Sequence in context: A218845 A219424 A020292 * A251151 A222588 A286612

Adjacent sequences: A251155 A251156 A251157 * A251159 A251160 A251161

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 30 2014

STATUS

approved