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A334159 Irregular triangle read by rows: T(n,k) is the number of colorings of the n-hypercube graph using exactly k unlabeled colors, k = 1..2^n. 9

%I #20 Apr 23 2020 10:35:40

%S 1,0,1,0,1,2,1,0,1,18,92,146,80,16,1,0,1,494,54583,1507094,12630906,

%T 40096740,58031885,43419502,18212138,4498756,670366,60220,3156,88,1,0,

%U 1,197546,5427041958,17973998149410,10961517110194516,1450479305675145412,56507865332978414188

%N Irregular triangle read by rows: T(n,k) is the number of colorings of the n-hypercube graph using exactly k unlabeled colors, k = 1..2^n.

%H Andrew Howroyd, <a href="/A334159/b334159.txt">Table of n, a(n) for n = 0..62</a> (rows 0..5)

%H Andrew Howroyd, <a href="/A334159/a334159.txt">Chromatic Polynomials of Hypercubes Q_0 to Q_5</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/ChromaticPolynomial.html">Chromatic Polynomial</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/HypercubeGraph.html">Hypercube Graph</a>

%e Triangle begins:

%e 0 | 1;

%e 1 | 0, 1;

%e 2 | 0, 1, 2, 1;

%e 3 | 0, 1, 18, 92, 146, 80, 16, 1;

%e 4 | 0, 1, 494, 54583, 1507094, 12630906, 40096740, 58031885, 43419502, 18212138, 4498756, 670366, 60220, 3156, 88, 1;

%Y Cf. A091940, A140986, A158348, A296914, A295176, A334247.

%K nonn,tabf

%O 0,6

%A _Andrew Howroyd_, Apr 21 2020

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Last modified June 3 00:27 EDT 2024. Contains 373054 sequences. (Running on oeis4.)