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A224598 Number of (n+2)X(n+2) 0..2 matrices with each 3X3 subblock idempotent 0
122, 272, 482, 666, 1202, 2092, 3308, 5398, 8876, 14232, 22734, 36346, 57712, 91204, 143828, 226126, 354436, 554296, 865004, 1347042, 2093774, 3248860, 5032926, 7784734, 12023856, 18546144 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Diagonal of A224606
LINKS
Christian Ballot, Clark Kimberling, and Peter J. C. Moses, Linear Recurrences Originating From Polynomial Trees, Fibonacci Quart. 55 (2017), no. 5, 15-27. Mentions this sequence.
FORMULA
Empirical: a(n) = 6*a(n-1) -15*a(n-2) +23*a(n-3) -30*a(n-4) +36*a(n-5) -34*a(n-6) +27*a(n-7) -21*a(n-8) +13*a(n-9) -6*a(n-10) +3*a(n-11) -a(n-12) for n>14
EXAMPLE
Some solutions for n=3
..1..0..0..0..0....0..1..0..0..2....1..1..1..0..2....1..1..1..0..1
..1..0..0..0..0....0..1..0..0..1....0..0..0..0..0....0..0..0..0..0
..1..0..0..0..0....0..1..0..0..1....0..0..0..0..0....0..0..0..0..0
..2..0..0..0..0....0..1..0..0..1....0..0..0..0..0....2..1..1..1..1
..1..0..0..0..0....0..2..0..0..1....0..2..1..1..1....0..0..0..0..0
CROSSREFS
Sequence in context: A004925 A369598 A276303 * A070955 A195856 A116216
KEYWORD
nonn
AUTHOR
R. H. Hardin, Apr 11 2013
STATUS
approved

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Last modified June 12 19:52 EDT 2024. Contains 373360 sequences. (Running on oeis4.)