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A244184
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Number of length n+4 0..9 arrays with no five consecutive elements with pattern ababa or abbba (possibly a=b) and new values 0..9 introduced in 0..9 order
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1
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49, 189, 812, 3832, 19612, 107864, 633127, 3944198, 25957707, 179748699, 1304866401, 9895505873, 78115688620, 639534934283, 5409376917607, 47084810672681, 420119843639294, 3828299665916480, 35504637012253021
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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Empirical: a(n) = 29*a(n-1) -277*a(n-2) +655*a(n-3) +3400*a(n-4) -7802*a(n-5) -49606*a(n-6) -30159*a(n-7) +403108*a(n-8) +1503590*a(n-9) +1635899*a(n-10) -5652490*a(n-11) -31339466*a(n-12) -77219594*a(n-13) -98298345*a(n-14) +54151570*a(n-15) +669953408*a(n-16) +2120355686*a(n-17) +4618747926*a(n-18) +7785441378*a(n-19) +10142532705*a(n-20) +8820633444*a(n-21) -184894715*a(n-22) -21013605262*a(n-23) -56342602223*a(n-24) -105733609417*a(n-25) -164683705023*a(n-26) -224995549990*a(n-27) -276580511002*a(n-28) -310166430329*a(n-29) -319929413204*a(n-30) -305057789374*a(n-31) -269700758984*a(n-32) -221428750153*a(n-33) -168899208188*a(n-34) -119626976395*a(n-35) -78560246496*a(n-36) -47719787532*a(n-37) -26718125970*a(n-38) -13723716584*a(n-39) -6426330933*a(n-40) -2720546834*a(n-41) -1029660492*a(n-42) -343102672*a(n-43) -98490588*a(n-44) -23573519*a(n-45) -4460436*a(n-46) -603108*a(n-47) -45360*a(n-48)
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EXAMPLE
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Some solutions for n=2
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..1....0....1....0....0....1....0....1....1....0....1....1....1....1....0....1
..2....1....1....1....0....1....1....1....1....1....2....1....1....1....1....2
..0....1....0....2....1....1....2....0....1....2....3....0....2....0....0....1
..2....0....1....3....0....1....2....2....1....1....4....2....3....0....0....2
..0....0....0....1....1....0....1....1....2....0....2....2....3....1....1....2
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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