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Revision History for A231339

(Underlined text is an addition; strikethrough text is a deletion.)

Showing all changes.
A231339 Number of (n+1)X(3+1) 0..3 arrays with no element unequal to a strict majority of its horizontal and vertical neighbors, with values 0..3 introduced in row major order
(history; published version)
#4 by R. H. Hardin at Thu Nov 07 18:13:25 EST 2013
STATUS

editing

approved

#3 by R. H. Hardin at Thu Nov 07 18:13:22 EST 2013
LINKS

R. H. Hardin, <a href="/A231339/b231339.txt">Table of n, a(n) for n = 1..210</a>

#2 by R. H. Hardin at Thu Nov 07 18:13:09 EST 2013
NAME

allocated for R. H. Hardin

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

DATA

7, 22, 96, 453, 2302, 12052, 65326, 358429, 1989453, 11087559, 62022945, 347395505, 1948118084, 10928901807, 61334491446, 344258620897, 1932496326979, 10848464120753, 60902512055626, 341906150989889, 1919482880527468

OFFSET

1,1

COMMENTS

Column 3 of A231343

FORMULA

Empirical: a(n) = 15*a(n-1) -76*a(n-2) +89*a(n-3) +558*a(n-4) -2475*a(n-5) +4307*a(n-6) -3342*a(n-7) -657*a(n-8) +4329*a(n-9) -2777*a(n-10) -1516*a(n-11) -5181*a(n-12) +29973*a(n-13) -62025*a(n-14) +78104*a(n-15) -71064*a(n-16) +39440*a(n-17) +20165*a(n-18) -62303*a(n-19) +136788*a(n-20) -263265*a(n-21) +276773*a(n-22) -233086*a(n-23) +162331*a(n-24) +11505*a(n-25) -92651*a(n-26) +60838*a(n-27) -39569*a(n-28) +14575*a(n-29) -827*a(n-30) +128*a(n-31) +771*a(n-32) -9*a(n-33) +135*a(n-34)

EXAMPLE

Some solutions for n=6

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

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

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

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

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

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

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

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin, Nov 07 2013

STATUS

approved

editing

#1 by R. H. Hardin at Thu Nov 07 18:05:11 EST 2013
NAME

allocated for R. H. Hardin

KEYWORD

allocated

STATUS

approved

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Last modified August 18 20:21 EDT 2024. Contains 375276 sequences. (Running on oeis4.)