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Number of -5..5 arrays of n elements with first and second differences also in -5..5
1

%I #5 Mar 31 2012 12:36:42

%S 11,91,587,3899,25935,172767,1150785,7664735,51049977,340013811,

%T 2264635877,15083431015,100461998355,669119172909,4456615247095,

%U 29682932959083,197700824478473,1316770685524945,8770246875470677

%N Number of -5..5 arrays of n elements with first and second differences also in -5..5

%C Column 5 of A201088

%H R. H. Hardin, <a href="/A201085/b201085.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-1) -6*a(n-2) +23*a(n-3) +13*a(n-4) -a(n-5) +2*a(n-6) -59*a(n-7) -102*a(n-8) -8*a(n-9) +92*a(n-10) +95*a(n-11) -18*a(n-12) -41*a(n-13) +36*a(n-14) +33*a(n-15) -49*a(n-16) -124*a(n-17) -69*a(n-18) +14*a(n-19) +88*a(n-20) +53*a(n-21) -18*a(n-22) -11*a(n-23) -2*a(n-24) -2*a(n-25) +8*a(n-26) +2*a(n-27) -10*a(n-28) -4*a(n-29) +8*a(n-30) +3*a(n-31) +2*a(n-32) +3*a(n-33) -a(n-34)

%e Some solutions for n=5

%e .-1....1....3....4....2...-3....0...-3....2....2...-2....2....0...-5...-4...-3

%e ..2....5....4....1....1...-4....1....0....5....2....3....0....1...-3...-5...-4

%e ..2....4....4...-1...-3...-4...-3....0....4....5....5...-1....1...-4...-2...-3

%e .-2....1....1...-5...-5....1...-4...-1....2....3....3....1....1....0....1...-3

%e .-3....0...-2...-4...-3....5...-3....1....1...-2...-2....1....4....5....3....2

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 26 2011