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A243033 T(n,k)=Number of length n+3 0..k arrays with no four elements in a row with pattern abba (possibly a=b) and new values 0..k introduced in 0..k order 8
6, 12, 9, 13, 32, 13, 13, 42, 85, 19, 13, 43, 147, 226, 28, 13, 43, 162, 536, 601, 41, 13, 43, 163, 672, 1987, 1598, 60, 13, 43, 163, 693, 2962, 7414, 4249, 88, 13, 43, 163, 694, 3223, 13540, 27736, 11298, 129, 13, 43, 163, 694, 3251, 16060, 63221, 103868, 30041, 189 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
...6....12......13......13.......13.......13.......13.......13.......13
...9....32......42......43.......43.......43.......43.......43.......43
..13....85.....147.....162......163......163......163......163......163
..19...226.....536.....672......693......694......694......694......694
..28...601....1987....2962.....3223.....3251.....3252.....3252.....3252
..41..1598....7414...13540....16060....16516....16552....16553....16553
..60..4249...27736...63221....84207....89891....90634....90679....90680
..88.11298..103868..298775...457676...517995...529587...530734...530789
.129.30041..389129.1421589..2549156..3124633..3276946..3298816..3300512
.189.79878.1458054.6789700.14430921.19526936.21309360.21657357.21696132
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1) +a(n-3)
k=2: a(n) = 2*a(n-1) +a(n-2) +2*a(n-3)
k=3: a(n) = 4*a(n-1) -a(n-2) +2*a(n-3) -6*a(n-4) -2*a(n-5) -3*a(n-6)
k=4: [order 9]
k=5: [order 12]
k=6: [order 15]
k=7: [order 18]
EXAMPLE
Some solutions for n=3 k=4
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..1....0....1....1....1....1....0....1....0....0....1....0....1....1....0....1
..2....0....2....1....0....2....0....2....1....1....2....1....1....2....1....0
..0....1....1....1....0....0....1....0....2....0....0....1....2....1....2....2
..2....0....1....0....2....3....0....0....1....2....2....2....2....2....2....1
..1....1....0....1....3....0....2....3....1....0....0....1....2....3....3....3
CROSSREFS
Column 1 is A000930(n+5)
Sequence in context: A292680 A028320 A119437 * A242549 A315777 A279606
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, May 29 2014
STATUS
approved

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Last modified February 28 08:11 EST 2024. Contains 370393 sequences. (Running on oeis4.)