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Revision History for A235904

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Number of (n+1) X (1+1) 0..2 arrays with the minimum plus the maximum unequal to the lower median plus the upper median in every 2 X 2 subblock.
(history; published version)

#10 by Joerg Arndt at Sat Oct 20 06:04:59 EDT 2018

STATUS

reviewed

approved

#9 by Michel Marcus at Sat Oct 20 05:20:07 EDT 2018

STATUS

proposed

reviewed

#8 by Colin Barker at Sat Oct 20 05:04:05 EDT 2018

STATUS

editing

proposed

#7 by Colin Barker at Sat Oct 20 05:03:44 EDT 2018

NAME

Number of (n+1) X (1+1) 0..2 arrays with the minimum plus the maximum unequal to the lower median plus the upper median in every 2X2 2 X 2 subblock.

COMMENTS

Column 1 of A235911

FORMULA

Empirical: a(n) = 2*a(n-1) + 20*a(n-2) - 8*a(n-3).

Empirical g.f.: 4*x*(12 + 41*x - 18*x^2) / (1 - 2*x - 20*x^2 + 8*x^3). - Colin Barker, Oct 20 2018

EXAMPLE

Some solutions for n=4:

CROSSREFS

Column 1 of A235911.

STATUS

approved

editing

#6 by R. H. Hardin at Thu Jan 16 15:48:30 EST 2014

STATUS

editing

approved

#5 by R. H. Hardin at Thu Jan 16 15:48:27 EST 2014

COMMENTS

Column 1 of A235101A235911

STATUS

approved

editing

#4 by R. H. Hardin at Thu Jan 16 15:45:22 EST 2014

STATUS

editing

approved

#3 by R. H. Hardin at Thu Jan 16 15:45:16 EST 2014

LINKS

R. H. Hardin, <a href="/A235904/b235904.txt">Table of n, a(n) for n = 1..210</a>

#2 by R. H. Hardin at Thu Jan 16 15:44:51 EST 2014

NAME

allocated for R. H. Hardin

Number of (n+1)X(1+1) 0..2 arrays with the minimum plus the maximum unequal to the lower median plus the upper median in every 2X2 subblock

DATA

48, 260, 1408, 7632, 41344, 224064, 1213952, 6578432, 35643392, 193143808, 1046528000, 5670785024, 30726979584, 166497435648, 902168182784, 4888469241856, 26488322654208, 143528684683264, 777716068515840

OFFSET

1,1

COMMENTS

Column 1 of A235101

FORMULA

Empirical: a(n) = 2*a(n-1) +20*a(n-2) -8*a(n-3)

EXAMPLE

Some solutions for n=4

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

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

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

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

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

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin, Jan 16 2014

STATUS

approved

editing

#1 by R. H. Hardin at Thu Jan 16 15:43:06 EST 2014

NAME

allocated for R. H. Hardin

KEYWORD

allocated

STATUS

approved