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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 #4 Mar 30 2014 07:50:58

%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 April 18 18:10 EDT 2024. Contains 371781 sequences. (Running on oeis4.)