A202659 - OEIS

%I #5 Mar 31 2012 12:36:50

%S 7,37,153,475,1101,2591,6055,14199,33289,78119,183447,430889,1011945,

%T 2376423,5580971,13107163,30782605,72293525,169783471,398743229,

%U 936465399,2199327501,5165208441,12130703729,28489466517,66908707817

%N Number of -3..3 arrays of n elements with first through fourth differences also in -3..3

%C Column 3 of A202664

%H R. H. Hardin, <a href="/A202659/b202659.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) -10*a(n-2) +15*a(n-3) -23*a(n-4) +35*a(n-5) -55*a(n-6) +70*a(n-7) -79*a(n-8) +92*a(n-9) -121*a(n-10) +134*a(n-11) -75*a(n-12) +57*a(n-13) -59*a(n-14) +38*a(n-15) +79*a(n-16) -242*a(n-17) +321*a(n-18) -392*a(n-19) +418*a(n-20) -695*a(n-21) +682*a(n-22) -386*a(n-23) +129*a(n-24) +79*a(n-25) -185*a(n-26) +488*a(n-27) -496*a(n-28) +728*a(n-29) -84*a(n-30) -854*a(n-31) +552*a(n-32) -973*a(n-33) +1092*a(n-34) -551*a(n-35) +798*a(n-36) -267*a(n-37) -405*a(n-38) +245*a(n-39) -403*a(n-40) +342*a(n-41) -135*a(n-42) +183*a(n-43) -36*a(n-44) -108*a(n-45) -23*a(n-46) +44*a(n-47) +45*a(n-48) +95*a(n-49) +34*a(n-50) -7*a(n-51) -66*a(n-52) -24*a(n-53) -52*a(n-54) +27*a(n-55) -7*a(n-56) -13*a(n-57) -14*a(n-58) -2*a(n-59) +13*a(n-60) +3*a(n-61) +a(n-62) +3*a(n-63) +a(n-64) -3*a(n-66) -a(n-68) -a(n-69) for n>78

%e Some solutions for n=10

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

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

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 22 2011