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Revision History for A231297

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Number of (n+1)X(3+1) 0..2 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..2 introduced in row major order
(history; published version)
#6 by R. H. Hardin at Thu Nov 07 05:20:49 EST 2013
STATUS

editing

approved

#5 by R. H. Hardin at Thu Nov 07 05:20:46 EST 2013
COMMENTS

Column 3 of A291302A231302

STATUS

approved

editing

#4 by R. H. Hardin at Thu Nov 07 05:13:40 EST 2013
STATUS

editing

approved

#3 by R. H. Hardin at Thu Nov 07 05:13:37 EST 2013
LINKS

R. H. Hardin, <a href="/A231297/b231297.txt">Table of n, a(n) for n = 1..210</a>

#2 by R. H. Hardin at Thu Nov 07 05:13:23 EST 2013
NAME

allocated for R. H. Hardin

Number of (n+1)X(3+1) 0..2 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..2 introduced in row major order

DATA

4, 16, 69, 301, 1414, 6850, 33316, 162796, 797293, 3906788, 19152603, 93902795, 460455941, 2257842932, 11071788203, 54292311074, 266234310441, 1305534117780, 6401974363527, 31393453449193, 153944680060888, 754901179958837

OFFSET

1,1

COMMENTS

Column 3 of A291302

FORMULA

Empirical: a(n) = 3*a(n-1) +17*a(n-2) -23*a(n-3) -78*a(n-4) -11*a(n-5) +143*a(n-6) +431*a(n-7) -362*a(n-8) -763*a(n-9) +176*a(n-10) -60*a(n-11) +336*a(n-12) +448*a(n-13) -256*a(n-14) for n>16

EXAMPLE

Some solutions for n=4

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

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

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

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

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

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin, Nov 07 2013

STATUS

approved

editing

#1 by R. H. Hardin at Thu Nov 07 05:10:08 EST 2013
NAME

allocated for R. H. Hardin

KEYWORD

allocated

STATUS

approved