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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A199833 Number of -n..n arrays of 4 elements with zero sum and no two neighbors summing to zero.

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%I A199833 #18 Jul 14 2022 09:59:07
%S A199833 4,40,140,336,660,1144,1820,2720,3876,5320,7084,9200,11700,14616,
%T A199833 17980,21824,26180,31080,36556,42640,49364,56760,64860,73696,83300,
%U A199833 93704,104940,117040,130036,143960,158844,174720,191620,209576,228620,248784
%N A199833 Number of -n..n arrays of 4 elements with zero sum and no two neighbors summing to zero.
%H A199833 R. H. Hardin, <a href="/A199833/b199833.txt">Table of n, a(n) for n = 1..200</a>
%F A199833 Empirical: a(n) = (16/3)*n^3 - (4/3)*n = 4*A000447(n).
%F A199833 Empirical: G.f.: 4*x*(1+6*x+x^2) / (x-1)^4 . - _R. J. Mathar_, Aug 01 2014
%F A199833 Empirical: partial sums of A016826. - _Sean A. Irvine_, Jul 13 2022
%e A199833 Some solutions for n=3:
%e A199833    0  -3  -3   0   0   0  -1   1   1  -1   0   0  -3  -2  -1  -2
%e A199833   -2   2  -1   3   1   1   0   1  -2   2  -2   1   2   1  -3   0
%e A199833    3   3   2   0   2   1  -1  -3   1   0   0   0  -1  -2   1   1
%e A199833   -1  -2   2  -3  -3  -2   2   1   0  -1   2  -1   2   3   3   1
%Y A199833 Row 2 of A199832.
%Y A199833 Cf. A000447, A016826.
%K A199833 nonn
%O A199833 1,1
%A A199833 _R. H. Hardin_, Nov 11 2011