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A246484 Number of length 5+3 0..n arrays with no pair in any consecutive four terms totalling exactly n 1

%I #4 Aug 27 2014 08:39:07

%S 2,38,1420,11020,92478,415650,1756472,5497304,16089370,39798430,

%T 93260292,196688868,397729430,748819610,1364059888,2360459440,

%U 3978481842,6452033814,10241689340,15777507260,23878671982,35285572498,51371705640

%N Number of length 5+3 0..n arrays with no pair in any consecutive four terms totalling exactly n

%C Row 5 of A246479

%H R. H. Hardin, <a href="/A246484/b246484.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +3*a(n-2) -17*a(n-3) +3*a(n-4) +39*a(n-5) -25*a(n-6) -45*a(n-7) +45*a(n-8) +25*a(n-9) -39*a(n-10) -3*a(n-11) +17*a(n-12) -3*a(n-13) -3*a(n-14) +a(n-15)

%e Some solutions for n=5

%e ..5....1....5....4....1....3....4....1....1....5....3....2....3....2....1....5

%e ..5....1....1....2....0....3....4....2....1....2....1....0....3....1....2....4

%e ..2....3....5....0....1....4....0....5....0....2....3....0....1....2....5....4

%e ..5....3....1....0....2....3....3....5....0....5....0....0....1....0....2....3

%e ..1....3....2....1....2....0....3....2....1....4....1....3....0....1....5....5

%e ..1....4....2....1....2....3....0....2....0....5....0....0....0....1....5....5

%e ..3....0....5....0....1....3....0....4....1....5....2....1....3....3....5....4

%e ..0....4....4....3....5....4....0....4....3....3....0....1....1....1....5....3

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 27 2014

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Last modified March 4 01:40 EST 2024. Contains 370522 sequences. (Running on oeis4.)