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A251128 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no 2X2 subblock having the sum of its diagonal elements greater than the maximum of its antidiagonal elements 8
10, 21, 21, 40, 40, 40, 72, 69, 69, 72, 125, 117, 108, 117, 125, 212, 193, 173, 173, 193, 212, 354, 315, 272, 266, 272, 315, 354, 585, 510, 430, 401, 401, 430, 510, 585, 960, 823, 680, 612, 580, 612, 680, 823, 960, 1568, 1326, 1080, 938, 854, 854, 938, 1080, 1326 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

...10...21...40...72..125..212..354..585...960..1568..2553..4148..6730.10909

...21...40...69..117..193..315..510..823..1326..2136..3442..5550..8955.14458

...40...69..108..173..272..430..680.1080..1721..2752..4413..7093.11421.18415

...72..117..173..266..401..612..938.1452..2266..3565..5646..8991.14379.23071

..125..193..272..401..580..854.1268.1912..2921..4520..7069.11153.17717.28291

..212..315..430..612..854.1214.1743.2550..3795..5747..8835.13757.21640.34309

..354..510..680..938.1268.1743.2420.3429..4957..7321.11025.16890.26241.41224

..585..823.1080.1452.1912.2550.3429.4702..6585..9447.13873.20817.31818.49369

..960.1326.1721.2266.2921.3795.4957.6585..8926.12405.17694.25890.38762.59176

.1568.2136.2752.3565.4520.5747.7321.9447.12405.16680.23037.32726.47762.71410

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..1104

FORMULA

Empirical for column k:

k=1: a(n) = 3*a(n-1) -2*a(n-2) -a(n-3) +a(n-4)

k=2: a(n) = 4*a(n-1) -5*a(n-2) +a(n-3) +2*a(n-4) -a(n-5)

k=3: a(n) = 4*a(n-1) -5*a(n-2) +a(n-3) +2*a(n-4) -a(n-5) for n>6

k=4: a(n) = 4*a(n-1) -5*a(n-2) +a(n-3) +2*a(n-4) -a(n-5) for n>6

k=5: a(n) = 4*a(n-1) -5*a(n-2) +a(n-3) +2*a(n-4) -a(n-5) for n>6

k=6: a(n) = 4*a(n-1) -5*a(n-2) +a(n-3) +2*a(n-4) -a(n-5) for n>6

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

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A001891(n+2)

Sequence in context: A341111 A128536 A202318 * A244539 A335236 A164712

Adjacent sequences:  A251125 A251126 A251127 * A251129 A251130 A251131

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 30 2014

STATUS

approved

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Last modified April 17 05:12 EDT 2021. Contains 343059 sequences. (Running on oeis4.)