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 A255658 Number of length n+6 0..3 arrays with at most two downsteps in every 6 consecutive neighbor pairs 1

%I

%S 10320,33042,112196,385738,1324872,4542671,15269184,50963540,

%T 171784096,583245999,1978627688,6707590534,22709921860,76722468914,

%U 259180579024,877068284264,2969801621944,10051964251804,34016225117956

%N Number of length n+6 0..3 arrays with at most two downsteps in every 6 consecutive neighbor pairs

%C Column 6 of A255660

%H R. H. Hardin, <a href="/A255658/b255658.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) -6*a(n-2) +20*a(n-3) -34*a(n-4) +24*a(n-5) +230*a(n-6) -552*a(n-7) +447*a(n-8) -4060*a(n-9) +6908*a(n-10) -2648*a(n-11) -10346*a(n-12) +26292*a(n-13) -21776*a(n-14) +185776*a(n-15) -406128*a(n-16) +326996*a(n-17) -196764*a(n-18) +82488*a(n-19) -13045*a(n-20) -115472*a(n-21) +108636*a(n-22) -29312*a(n-23) +73724*a(n-24) -12420*a(n-25) -41050*a(n-26) +38840*a(n-27) -21680*a(n-28) +3232*a(n-29) -12984*a(n-30) +13080*a(n-31) -4064*a(n-32) +320*a(n-34) +64*a(n-35)

%e Some solutions for n=3

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

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

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

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

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

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

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

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

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

%Y Cf. A255660

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 01 2015

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Last modified November 28 02:56 EST 2021. Contains 349400 sequences. (Running on oeis4.)