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A167159 Number of n-vertex 7-hedrites. 8

%I #20 Dec 23 2021 12:08:11

%S 0,0,0,0,0,1,1,1,3,4,5,7,9,12,18,22,25,36,46,48,62,76,88,107,126,142,

%T 179,198,216,257,304,329,382,431,483,547,601,643,764,838,889,998,1134,

%U 1197,1324,1435,1574,1751,1874,1963,2247,2419,2511,2735,3041,3187,3453

%N Number of n-vertex 7-hedrites.

%C A k-hedrite is a 4-regular planar graph whose faces have sizes 2, 3 and 4 only and the total number of faces of sizes 2 and 3 is k.

%H Andrey Zabolotskiy, <a href="/A167159/b167159.txt">Table of n, a(n) for n = 2..70</a>

%H Mathieu Dutour Sikiric and Michel Deza, <a href="http://arxiv.org/abs/0910.5323">4-regular and self-dual analogs of fullerenes</a>, arXiv:0910.5323 [math.GT], 2009.

%Y Cf. A167156, A167157, A167158, A111361.

%K nonn

%O 2,9

%A _Jonathan Vos Post_, Oct 29 2009

%E New name from _Andrey Zabolotskiy_, Jul 05 2017

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