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A163003 Number of n X 3 binary arrays with all 1s connected and a path of 1s from upper left corner to lower right corner. 2
1, 8, 45, 234, 1193, 6049, 30616, 154861, 783150, 3960215, 20025500, 101261654, 512042141, 2589202874, 13092613725, 66204360820, 334770228305, 1692805481383, 8559872259604, 43284012160451, 218870755473698, 1106746006355201, 5596392811360844, 28298825854292256 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
FORMULA
From R. J. Mathar, Aug 11 2009: (Start)
Empirical: a(n) = 8*a(n-1) -17*a(n-2) +10*a(n-3) +6*a(n-4) -14*a(n-5) +7*a(n-6) +6*a(n-7) -a(n-8).
Empirical g.f.: -x*(1+x)*(x^4-x^3+x^2+x-1)/ ((x^2+x-1)*(x^6-7*x^5+x^4+6*x^3-11*x^2+7*x-1)). (End)
The above empirical formulas are correct. - Andrew Howroyd, Jan 06 2023
CROSSREFS
Row 3 of A359573.
Sequence in context: A201190 A297089 A032208 * A368576 A055422 A204618
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jul 20 2009
STATUS
approved

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Last modified April 13 12:32 EDT 2024. Contains 371641 sequences. (Running on oeis4.)