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A244701
Number of length n+4 0..9 arrays with no five consecutive elements with pattern ababa or abbba (with a!=b) and new values 0..9 introduced in 0..9 order
1
50, 192, 823, 3877, 19808, 108791, 637852, 3969996, 26107708, 180673040, 1310878363, 9936630366, 78410615256, 641745990003, 5426657117884, 47225199713541, 421301933548486, 3838582073808844, 35596716460818879
OFFSET
1,1
COMMENTS
Column 9 of A244702
LINKS
FORMULA
Empirical: a(n) = 38*a(n-1) -574*a(n-2) +4276*a(n-3) -15029*a(n-4) +12263*a(n-5) +48204*a(n-6) -16847*a(n-7) -203774*a(n-8) -274320*a(n-9) +337901*a(n-10) +1264190*a(n-11) +1574718*a(n-12) +434569*a(n-13) -1814318*a(n-14) -3975030*a(n-15) -5698180*a(n-16) -6798034*a(n-17) -7216705*a(n-18) -6361941*a(n-19) -4141269*a(n-20) -1415098*a(n-21) +1117645*a(n-22) +2963339*a(n-23) +4238015*a(n-24) +4880440*a(n-25) +4838799*a(n-26) +4315267*a(n-27) +3525637*a(n-28) +2742853*a(n-29) +2014392*a(n-30) +1390851*a(n-31) +910679*a(n-32) +565426*a(n-33) +343188*a(n-34) +195749*a(n-35) +106036*a(n-36) +55321*a(n-37) +27440*a(n-38) +13678*a(n-39) +5894*a(n-40) +2555*a(n-41) +1107*a(n-42) +410*a(n-43) +175*a(n-44) +36*a(n-45) +21*a(n-46) +8*a(n-47) -a(n-48) +a(n-49)
EXAMPLE
Some solutions for n=2
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..1....1....0....1....1....1....1....1....1....0....1....1....1....1....1....0
..2....2....1....0....1....2....2....2....2....0....2....0....2....2....1....1
..1....3....2....0....2....2....0....1....3....0....3....2....1....2....0....0
..2....3....3....1....2....3....0....2....2....1....4....1....3....1....2....1
..2....3....3....1....3....2....3....0....2....1....2....2....1....0....3....2
CROSSREFS
Sequence in context: A244698 A244699 A244700 * A180293 A031692 A173141
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jul 04 2014
STATUS
approved