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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.

%I A334159 #21 Feb 16 2025 08:34:00
%S A334159 1,0,1,0,1,2,1,0,1,18,92,146,80,16,1,0,1,494,54583,1507094,12630906,
%T A334159 40096740,58031885,43419502,18212138,4498756,670366,60220,3156,88,1,0,
%U A334159 1,197546,5427041958,17973998149410,10961517110194516,1450479305675145412,56507865332978414188
%N 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.
%H A334159 Andrew Howroyd, <a href="/A334159/b334159.txt">Table of n, a(n) for n = 0..62</a> (rows 0..5)
%H A334159 Andrew Howroyd, <a href="/A334159/a334159.txt">Chromatic Polynomials of Hypercubes Q_0 to Q_5</a>
%H A334159 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/ChromaticPolynomial.html">Chromatic Polynomial</a>
%H A334159 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/HypercubeGraph.html">Hypercube Graph</a>
%e A334159 Triangle begins:
%e A334159 0 | 1;
%e A334159 1 | 0, 1;
%e A334159 2 | 0, 1, 2, 1;
%e A334159 3 | 0, 1, 18, 92, 146, 80, 16, 1;
%e A334159 4 | 0, 1, 494, 54583, 1507094, 12630906, 40096740, 58031885, 43419502, 18212138, 4498756, 670366, 60220, 3156, 88, 1;
%Y A334159 Cf. A091940, A140986, A158348, A296914, A295176, A334247.
%K A334159 nonn,tabf
%O A334159 0,6
%A A334159 _Andrew Howroyd_, Apr 21 2020