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%I #5 Mar 31 2012 12:35:55
%S 1,1,1,1,1,3,1,1,5,7,1,1,7,15,21,1,1,9,21,81,45,1,1,11,33,169,237,121,
%T 1,1,13,39,321,635,1015,261,1,1,15,51,497,1411,3803,3891,723,1,1,17,
%U 57,761,2343,10613,19013,16171,1723,1,1,19,69,1033,4411,22881,70449,115755
%N T(n,k)=Number of strings of n numbers x(i) in -k..k with sums of x(i) and of x(i)*x(i+1) both zero
%C Table starts
%C ....1.....1......1.......1........1........1.........1.........1.........1
%C ....1.....1......1.......1........1........1.........1.........1.........1
%C ....3.....5......7.......9.......11.......13........15........17........19
%C ....7....15.....21......33.......39.......51........57........69........83
%C ...21....81....169.....321......497......761......1033......1417......1793
%C ...45...237....635....1411.....2343.....4411......6259......9335.....13041
%C ..121..1015...3803...10613....22881....47675.....80851....135793....212037
%C ..261..3891..19013...70449...177535...442337....844829...1639099...2802831
%C ..723.16171.115755..534153..1682939..4838487..10894795..23586625..45371761
%C .1723.66237.642065.3908739.14821961.50772785.130817901.323498939.691606851
%H R. H. Hardin, <a href="/A183944/b183944.txt">Table of n, a(n) for n = 1..197</a>
%e Some solutions for n=5 k=4
%e ..3...-4....4...-1...-2....3...-4...-2...-3....2...-1...-2...-1....1...-1....0
%e .-1....3....0....4....0....0....0...-3....1....1....2....4...-1....4....3....0
%e .-2....4...-1....2....4....1...-3....4....2...-4....2....2....1...-1....1....1
%e .-1....1....0...-4....0...-3....4....2....1...-1...-2....0....0....0...-2....0
%e ..1...-4...-3...-1...-2...-1....3...-1...-1....2...-1...-4....1...-4...-1...-1
%K nonn,tabl
%O 1,6
%A _R. H. Hardin_ Jan 08 2011
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