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A190072 Number of arrangements of 3 nonzero numbers x(i) in -n..n with the sum of div(x(i),x(i+1)), where div(a,b)=a/b produces the integer quotient implying a nonnegative remainder, equal to zero. 1

%I #7 Nov 17 2022 19:11:41

%S 4,12,36,76,143,233,366,536,760,1028,1363,1751,2221,2758,3387,4096,

%T 4907,5804,6819,7931,9174,10525,12021,13631,15401,17299,19366,21572,

%U 23959,26490,29220,32114,35210,38476,41963,45629,49527,53618,57953,62489,67285

%N Number of arrangements of 3 nonzero numbers x(i) in -n..n with the sum of div(x(i),x(i+1)), where div(a,b)=a/b produces the integer quotient implying a nonnegative remainder, equal to zero.

%C Row 2 of A190071.

%H R. H. Hardin, <a href="/A190072/b190072.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for n=4

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

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

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

%Y Cf. A190071.

%K nonn

%O 1,1

%A _R. H. Hardin_, May 04 2011

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Last modified March 28 08:02 EDT 2024. Contains 371236 sequences. (Running on oeis4.)