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Revision History for A251277

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Number of (n+1) X (2+1) 0..3 arrays with no 2 X 2 subblock having its maximum diagonal element less than its minimum antidiagonal element.
(history; published version)
#7 by Susanna Cuyler at Tue Nov 27 16:17:18 EST 2018
STATUS

proposed

approved

#6 by Colin Barker at Tue Nov 27 13:50:24 EST 2018
STATUS

editing

proposed

#5 by Colin Barker at Tue Nov 27 13:50:01 EST 2018
NAME

Number of (n+1) X (2+1) 0..3 arrays with no 2X2 2 X 2 subblock having its maximum diagonal element less than its minimum antidiagonal element.

COMMENTS

Column 2 of A251283

FORMULA

Empirical: a(n) = 54*a(n-1) - 182*a(n-2) + 228*a(n-3) + 1152*a(n-4).

Empirical g.f.: 64*x*(51 - 179*x + 246*x^2 + 1152*x^3) / (1 - 54*x + 182*x^2 - 228*x^3 - 1152*x^4). - Colin Barker, Nov 27 2018

EXAMPLE

Some solutions for n=2:

CROSSREFS

Column 2 of A251283.

STATUS

approved

editing

#4 by R. H. Hardin at Mon Dec 01 11:10:28 EST 2014
STATUS

editing

approved

#3 by R. H. Hardin at Mon Dec 01 11:10:25 EST 2014
LINKS

R. H. Hardin, <a href="/A251277/b251277.txt">Table of n, a(n) for n = 1..210</a>

#2 by R. H. Hardin at Mon Dec 01 11:10:10 EST 2014
NAME

allocated for R. H. Hardin

Number of (n+1)X(2+1) 0..3 arrays with no 2X2 subblock having its maximum diagonal element less than its minimum antidiagonal element

DATA

3264, 164800, 8320896, 420152704, 21215177472, 1071238805248, 54091113672192, 2731275752121856, 137912990258285568, 6963776128082148352, 351628790523862185984, 17755138024422940530688, 896527630165476145606656

OFFSET

1,1

COMMENTS

Column 2 of A251283

FORMULA

Empirical: a(n) = 54*a(n-1) -182*a(n-2) +228*a(n-3) +1152*a(n-4)

EXAMPLE

Some solutions for n=2

..0..0..2....3..0..0....1..3..2....1..2..0....1..3..0....1..1..3....1..3..0

..1..2..3....3..1..1....0..2..2....2..3..2....0..0..1....0..1..1....0..0..2

..0..0..3....3..0..3....0..1..3....3..3..2....2..1..2....2..1..0....2..3..3

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin, Dec 01 2014

STATUS

approved

editing

#1 by R. H. Hardin at Mon Dec 01 11:07:20 EST 2014
NAME

allocated for R. H. Hardin

KEYWORD

allocated

STATUS

approved