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A266132
Number of 2Xn integer arrays with each element equal to the number of horizontal, diagonal and antidiagonal neighbors exactly one smaller than itself.
1
1, 9, 25, 49, 149, 625, 2141, 5433, 17269, 65249, 214877, 600025, 1934485, 6961153, 22488637, 66171721, 214994149, 746222545, 2392193165, 7273608601, 23705004725, 80233190113, 256613628509, 797094034921, 2598493640773, 8647653815601
OFFSET
1,2
COMMENTS
Row 2 of A266131.
LINKS
FORMULA
Empirical: a(n) = a(n-1) +8*a(n-3) +80*a(n-4) -40*a(n-5) -52*a(n-6) -112*a(n-7) -1204*a(n-8) +292*a(n-9) +64*a(n-10) -880*a(n-11) +4016*a(n-12) -2112*a(n-13) -1152*a(n-14) +1024*a(n-15) -4608*a(n-16) +4608*a(n-17)
EXAMPLE
Some solutions for n=4
..1..2..0..1....1..1..1..2....1..1..1..1....1..1..0..1....0..2..0..1
..0..0..1..1....0..0..1..2....1..0..0..1....1..0..2..0....1..0..1..1
CROSSREFS
Cf. A266131.
Sequence in context: A245694 A045972 A297596 * A112629 A225322 A031162
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 21 2015
STATUS
approved