A208412 - OEIS

%I #5 Mar 31 2012 12:37:23

%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