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A232317
Number of (1+1)X(n+1) 0..1 arrays with every element equal to some horizontal or antidiagonal neighbor, with top left element zero
2
2, 5, 16, 52, 169, 549, 1784, 5797, 18837, 61210, 198899, 646313, 2100164, 6824385, 22175521, 72058322, 234150159, 760860029, 2472379204, 8033880997, 26105721877, 84829326570, 275648943179, 895708394113, 2910562681764, 9457737786265
OFFSET
1,1
COMMENTS
Row 1 of A232316
LINKS
FORMULA
Empirical: a(n) = 3*a(n-1) +a(n-2) -2*a(n-4) for n>5.
Empirical: G.f.: 2*x -x^2*(-5-x+x^2+3*x^3) / ( 1-3*x-x^2+2*x^4 ). - R. J. Mathar, Nov 24 2013
EXAMPLE
Some.solutions.for.n=7
..0..0..1..1..0..0..0..1....0..0..0..1..1..0..0..0....0..0..0..1..1..1..0..0
..1..1..1..1..0..1..1..1....0..0..1..1..1..0..1..1....0..0..0..0..1..1..1..1
CROSSREFS
Sequence in context: A234843 A011819 A148390 * A148391 A337268 A148392
KEYWORD
nonn
AUTHOR
R. H. Hardin, Nov 22 2013
STATUS
approved