The On-Line Encyclopedia of Integer Sequences (OEIS)

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A201149

Number of nX2 0..2 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally
(history; published version)

#5 by Russ Cox at Sat Mar 31 12:36:43 EDT 2012

AUTHOR

_R. H. Hardin (rhhardin(AT)att.net) _ Nov 27 2011

Discussion

Sat Mar 31

12:36

OEIS Server: https://oeis.org/edit/global/875

#4 by Ron Hardin at Sun Nov 27 13:58:15 EST 2011

STATUS

editing

approved

#3 by Ron Hardin at Sun Nov 27 13:58:12 EST 2011

LINKS

R. H. Hardin, <a href="/A201149/b201149.txt">Table of n, a(n) for n = 1..210</a>

#2 by Ron Hardin at Sun Nov 27 13:57:46 EST 2011

NAME

allocated for Ron HardinNumber of nX2 0..2 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally

DATA

6, 20, 56, 140, 330, 745, 1634, 3504, 7388, 15366, 31612, 64446, 130391, 262113, 523984, 1042433, 2065098, 4075761, 8017395, 15724110, 30756544, 60014931, 116849951, 227054267, 440389499, 852738289, 1648633351, 3182830233

OFFSET

1,1

COMMENTS

Column 2 of A201155

FORMULA

Empirical: a(n) = 7*a(n-1) -16*a(n-2) +4*a(n-3) +39*a(n-4) -56*a(n-5) +2*a(n-6) +59*a(n-7) -49*a(n-8) -5*a(n-9) +29*a(n-10) -14*a(n-11) -2*a(n-12) +4*a(n-13) -a(n-14)

EXAMPLE

Some solutions for n=10

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

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

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

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

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

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

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

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

..1..2....1..2....2..2....2..2....1..2....1..2....1..2....2..2....1..1....1..1

..2..2....1..2....2..2....1..2....2..2....2..2....1..2....2..2....1..2....2..2

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin (rhhardin(AT)att.net) Nov 27 2011

STATUS

approved

editing

#1 by Ron Hardin at Sun Nov 27 13:54:48 EST 2011

NAME

allocated for Ron Hardin

KEYWORD

allocated

STATUS

approved