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A238992 Number of nX3 0..3 arrays with no element equal to two plus the sum of elements to its left or two plus the sum of the sum of elements above it, modulo 4 1

%I #4 Mar 08 2014 08:45:10

%S 15,203,2365,25601,270671,2827709,29422487,305525459,3170576253,

%T 32890537051,341164909807,3538555502557,36701472408455,

%U 380656870553721,3948062617070389,40947979951532603,424699049401817205

%N Number of nX3 0..3 arrays with no element equal to two plus the sum of elements to its left or two plus the sum of the sum of elements above it, modulo 4

%C Column 3 of A238997

%H R. H. Hardin, <a href="/A238992/b238992.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 13*a(n-1) +40*a(n-2) -914*a(n-3) +683*a(n-4) +21799*a(n-5) -40268*a(n-6) -255576*a(n-7) +617879*a(n-8) +1651695*a(n-9) -4744854*a(n-10) -5850014*a(n-11) +20400821*a(n-12) +9443201*a(n-13) -49172224*a(n-14) +1794964*a(n-15) +63874690*a(n-16) -34792348*a(n-17) -46269446*a(n-18) +85331340*a(n-19) +19168016*a(n-20) -137730200*a(n-21) +2475600*a(n-22) +191881992*a(n-23) -35419208*a(n-24) -200659312*a(n-25) +29452144*a(n-26) +50974176*a(n-27) -43973440*a(n-28) +100095104*a(n-29) +81128448*a(n-30) -69032960*a(n-31) -38481920*a(n-32) +7651328*a(n-33) +983040*a(n-34) -524288*a(n-35)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 08 2014

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Last modified April 24 15:18 EDT 2024. Contains 371960 sequences. (Running on oeis4.)