STATUS
reviewed
approved
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Revision History for A231295
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Number of (n+1) X (1+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)
(history; published version)
STATUS
proposed
reviewed
STATUS
editing
proposed
FORMULA
Empirical: a(n) = 2*a(n-1) + 3*a(n-2) - 4*a(n-4).
NAME
Number of (n+1) X (1+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.
COMMENTS
Column 1 of A231302
FORMULA
Empirical: a(n) = 2*a(n-1) +3*a(n-2) -4*a(n-4).
Empirical g.f.: x*(1 + x)^2*(1 - 2*x) / ((1 - x)*(1 - x - 4*x^2 - 4*x^3)). - Colin Barker, Sep 28 2018
EXAMPLE
Some solutions for n=4:
CROSSREFS
Column 1 of A231302.
STATUS
approved
editing
STATUS
editing
approved
LINKS
R. H. Hardin, <a href="/A231295/b231295_1.txt">Table of n, a(n) for n = 1..210</a>
STATUS
editing
approved
LINKS
R. H. Hardin, <a href="/A231295/b231295_1.txt">Table of n, a(n) for n = 1..210</a>
STATUS
approved
editing