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A201086 Number of -6..6 arrays of n elements with first and second differences also in -6..6.

%I A201086 #7 Aug 19 2022 15:25:44
%S A201086 13,127,967,7581,59533,468159,3681179,28943479,227567727,1789258703,
%T A201086 14068129953,110611309721,869686276975,6837946387417,53763653212357,
%U A201086 422719081839837,3323647323173331,26132322856122051,205466534630289505
%N A201086 Number of -6..6 arrays of n elements with first and second differences also in -6..6.
%C A201086 Column 6 of A201088.
%H A201086 R. H. Hardin, <a href="/A201086/b201086.txt">Table of n, a(n) for n = 1..210</a>
%F A201086 Empirical: a(n) = 8*a(n-1) -14*a(n-3) +55*a(n-4) -58*a(n-5) -275*a(n-6) -13*a(n-7) +383*a(n-8) +435*a(n-9) +307*a(n-10) -386*a(n-11) -1187*a(n-12) -515*a(n-13) +895*a(n-14) +1171*a(n-15) +258*a(n-16) -717*a(n-17) -1121*a(n-18) -436*a(n-19) +947*a(n-20) +1146*a(n-21) -68*a(n-22) -827*a(n-23) -391*a(n-24) +230*a(n-25) +497*a(n-26) +139*a(n-27) -493*a(n-28) -458*a(n-29) +242*a(n-30) +498*a(n-31) +55*a(n-32) -279*a(n-33) -136*a(n-34) +58*a(n-35) +70*a(n-36) +5*a(n-37) -17*a(n-38) -2*a(n-39) +6*a(n-40) +a(n-41) -2*a(n-42) -2*a(n-43) for n>44.
%e A201086 Some solutions for n=5
%e A201086 .-4....0...-6....3...-1....2....3....1...-3...-5...-1....3...-5...-3....6....0
%e A201086 .-2...-1....0....2....0....0...-2...-1...-3...-5....0...-3....0...-3....3...-5
%e A201086 ..2...-5....3....4....0....2...-6...-2....3...-1....3...-5...-1....0....4...-6
%e A201086 ..5...-6....0....1....2....3...-4....1....6...-2....0...-4....3....1....4...-4
%e A201086 ..4...-4...-2....1....1....6...-4....5....5....2...-5...-4....1...-1....0...-6
%Y A201086 Cf. A201088.
%K A201086 nonn
%O A201086 1,1
%A A201086 _R. H. Hardin_, Nov 26 2011