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A239995 Number of nX2 0..3 arrays with no element equal to one plus the sum of elements to its left or two plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4 1

%I

%S 3,13,61,256,1117,5012,22592,102336,465662,2123857,9698188,44317651,

%T 202610817,926532786,4237612923,19382872561,88661747469,405570672096,

%U 1855255219753,8486814865920,38822908166872,177595801954595

%N Number of nX2 0..3 arrays with no element equal to one plus the sum of elements to its left or two plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4

%C Column 2 of A240000

%H R. H. Hardin, <a href="/A239995/b239995.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) -20*a(n-2) +34*a(n-3) -84*a(n-4) +92*a(n-5) -68*a(n-6) +222*a(n-7) +13*a(n-8) -251*a(n-9) +25*a(n-10) -495*a(n-11) +485*a(n-12) -44*a(n-13) -180*a(n-14) +554*a(n-15) -648*a(n-16) +14*a(n-17) +152*a(n-18) -190*a(n-19) -140*a(n-20) +397*a(n-21) -273*a(n-22) +75*a(n-23) +167*a(n-24) -136*a(n-25) +27*a(n-26)

%e Some solutions for n=5

%e ..3..3....0..3....0..3....3..3....3..3....3..3....3..3....0..0....0..3....3..3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 30 2014

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Last modified March 21 16:18 EDT 2023. Contains 361408 sequences. (Running on oeis4.)