[go: up one dir, main page]

login
Revision History for A232509 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing all changes.
Number of (n+1)X(2+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally, diagonally or antidiagonally, with no adjacent elements equal
(history; published version)
#6 by R. J. Mathar at Sun Nov 23 17:18:28 EST 2014
STATUS

editing

approved

#5 by R. J. Mathar at Sun Nov 23 17:18:24 EST 2014
FORMULA

Empirical: a(n) = 4*a(n-1) +a(n-2) -4*a(n-3) -5*a(n-4) -2*a(n-5) +a(n-6) +2*a(n-7).

Empirical: G.f.: -4*x*(4-3*x-6*x^2-x^3+x^4+x^6) / ( -1+4*x+x^2-4*x^3-5*x^4-2*x^5+x^6+2*x^7 ). - R. J. Mathar, Nov 23 2014

STATUS

approved

editing

#4 by R. H. Hardin at Mon Nov 25 06:55:52 EST 2013
STATUS

editing

approved

#3 by R. H. Hardin at Mon Nov 25 06:55:49 EST 2013
LINKS

R. H. Hardin, <a href="/A232509/b232509.txt">Table of n, a(n) for n = 1..210</a>

#2 by R. H. Hardin at Mon Nov 25 06:55:30 EST 2013
NAME

allocated for R. H. Hardin

Number of (n+1)X(2+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally, diagonally or antidiagonally, with no adjacent elements equal

DATA

16, 52, 200, 784, 3052, 11900, 46432, 181184, 707044, 2759212, 10767816, 42021520, 163989692, 639972924, 2497507216, 9746573088, 38036202612, 148437067820, 579278732344, 2260647259184, 8822222791628, 34428907339516, 134359524664384

OFFSET

1,1

COMMENTS

Column 2 of A232515

FORMULA

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

EXAMPLE

Some solutions for n=7

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

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

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

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

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

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

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

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

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin, Nov 25 2013

STATUS

approved

editing

#1 by R. H. Hardin at Mon Nov 25 06:46:18 EST 2013
NAME

allocated for R. H. Hardin

KEYWORD

allocated

STATUS

approved