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A231464
Number of (1+1) X (n+1) 0..3 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..3 introduced in row major order.
1
3, 7, 14, 33, 78, 197, 531, 1471, 4350, 13011, 40472, 126661, 403413, 1290013, 4152314, 13399141, 43334010, 140340125, 454835871, 1475094707, 4785194422, 15527719855, 50392179204, 163557640581, 530885150241, 1723259068961
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 5*a(n-1) + 3*a(n-2) - 41*a(n-3) + 11*a(n-4) + 137*a(n-5) - 82*a(n-6) - 176*a(n-7) + 108*a(n-8) + 108*a(n-9) - 72*a(n-10).
Empirical g.f.: x*(3 - 8*x - 30*x^2 + 65*x^3 + 125*x^4 - 206*x^5 - 202*x^6 + 244*x^7 + 156*x^8 - 144*x^9) / ((1 - x)*(1 - 2*x)*(1 - x - 3*x^2 + 2*x^4)*(1 - x - 9*x^2 + 18*x^4)). - Colin Barker, Sep 29 2018
CROSSREFS
Row 1 of A231463.
Sequence in context: A089526 A261051 A231397 * A146920 A079939 A147006
KEYWORD
nonn
AUTHOR
R. H. Hardin, Nov 09 2013
STATUS
approved