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A232318
Number of (2+1)X(n+1) 0..1 arrays with every element equal to some horizontal or antidiagonal neighbor, with top left element zero
1
5, 24, 139, 853, 5241, 32089, 196698, 1205422, 7387476, 45274221, 277463582, 1700438900, 10421159854, 63866201729, 391404773682, 2398728792093, 14700637816523, 90093032996396, 552136219923131, 3383773364176424
OFFSET
1,1
COMMENTS
Row 2 of A232316
LINKS
FORMULA
Empirical: a(n) = 5*a(n-1) +9*a(n-2) -10*a(n-3) -19*a(n-4) +9*a(n-5) +21*a(n-6) -15*a(n-8) -5*a(n-9) +5*a(n-10) +4*a(n-11) -2*a(n-12) for n>14
EXAMPLE
Some solutions for n=7
..0..0..1..0..1..0..0..1....0..0..0..0..0..1..0..0....0..0..0..0..1..1..1..0
..0..1..0..1..1..0..1..0....0..0..1..1..1..1..1..0....0..1..1..1..0..1..0..0
..0..0..1..1..1..1..0..0....1..1..0..0..1..1..0..0....1..0..0..0..1..1..1..1
CROSSREFS
Sequence in context: A020055 A256325 A286743 * A201952 A221788 A111766
KEYWORD
nonn
AUTHOR
R. H. Hardin, Nov 22 2013
STATUS
approved