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A185135 Number of not necessarily connected 3-regular simple graphs on 2n vertices with girth exactly 5. 8

%I #9 May 01 2014 02:37:07

%S 0,0,0,0,0,1,2,8,48,450,5752,90555,1612917,31297424,652159986,

%T 14499787794,342646826428

%N Number of not necessarily connected 3-regular simple graphs on 2n vertices with girth exactly 5.

%H Jason Kimberley, <a href="/wiki/User:Jason_Kimberley/E_k-reg_girth_eq_g_index">Index of sequences counting not necessarily connected k-regular simple graphs with girth exactly g</a>

%F a(n) = A185335(n) - A185336(n).

%F a(n) = A006925(n) + A185035(n).

%Y Not necessarily connected 3-regular simple graphs on 2n vertices with girth exactly g: A185130 (triangle); fixed g: A185133 (g=3), A185134 (g=4), this sequence (g=5), A185136 (g=6).

%K nonn,hard,more

%O 0,7

%A _Jason Kimberley_, Mar 21 2012

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Last modified September 8 02:36 EDT 2024. Contains 375749 sequences. (Running on oeis4.)