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A208412 Number of 5Xn 0..3 arrays with new values 0..3 introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors 1

%I

%S 51,43947,42012698,40595679634,39216100214432,37884515848419250,

%T 36598079445605633928,35355330691346872093058,

%U 34154781271350993450819306,32994998532336627831187653984,31874598155583932774268114331038

%N Number of 5Xn 0..3 arrays with new values 0..3 introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors

%C Row 5 of A208408

%H R. H. Hardin, <a href="/A208412/b208412.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 846*a(n-1) +113055*a(n-2) +2929874*a(n-3) -109060673*a(n-4) -3622824692*a(n-5) +65097142029*a(n-6) +1105024278376*a(n-7) -27292434557458*a(n-8) +142062088508752*a(n-9) +377948844669748*a(n-10) -4808916389539500*a(n-11) +4645157287758163*a(n-12) +52333669611524778*a(n-13) -120575382680010711*a(n-14) -210993332876225106*a(n-15) +842794866719196543*a(n-16) +23751649411434324*a(n-17) -2346267769038080739*a(n-18) +1537588828184004828*a(n-19) +2261528701157029077*a(n-20) -2074597977196235322*a(n-21) -1044955823075183619*a(n-22) +1037909226733865982*a(n-23) +266013779180313879*a(n-24) -226004933703781188*a(n-25) -35288827553849769*a(n-26) +20872926611932608*a(n-27) +1881175972889916*a(n-28) -620089737873840*a(n-29) for n>32

%e Some solutions for n=4

%e ..0..0..0..1....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 26 2012

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Last modified September 24 12:40 EDT 2022. Contains 356932 sequences. (Running on oeis4.)