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A185206 Triangular array D(n,k) counting disconnected k-regular simple graphs on n vertices with girth at least 6.

%I A185206 #7 Nov 05 2012 19:30:25
%S A185206 0,1,1,1,1,1,0,1,1,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,1,1,1,2,1,0,2,1,1,3,
%T A185206 1,0,3,1,1,5,1,0,5,1,1,7,1,0,8,1,1,10,1,0,11,1,1,15,1,0,16,1,1,20,1,0,
%U A185206 23,1,1,28,1,1,0,31,0,1,1,39,1,1,0,43,0,1,1,52,6,1,0,59,0,1,1,70,37,1,0,79,0
%N A185206 Triangular array D(n,k) counting disconnected k-regular simple graphs on n vertices with girth at least 6.
%H A185206 Jason Kimberley, <a href="/wiki/User:Jason_Kimberley/D_girth_ge_6">Disconnected regular graphs with girth at least 6</a>
%H A185206 Jason Kimberley, <a href="/wiki/User:Jason_Kimberley/D_k-reg_girth_ge_g_index">Index of sequences counting disconnected k-regular simple graphs with girth at least g</a>
%e A185206 1: 0;
%e A185206 2: 1;
%e A185206 3: 1;
%e A185206 4: 1, 1;
%e A185206 5: 1, 0;
%e A185206 6: 1, 1;
%e A185206 7: 1, 0;
%e A185206 8: 1, 1;
%e A185206 9: 1, 0;
%e A185206 10: 1, 1;
%e A185206 11: 1, 0;
%e A185206 12: 1, 1, 1;
%e A185206 13: 1, 0, 1;
%e A185206 14: 1, 1, 2;
%e A185206 15: 1, 0, 2;
%e A185206 16: 1, 1, 3;
%e A185206 17: 1, 0, 3;
%e A185206 18: 1, 1, 5;
%e A185206 19: 1, 0, 5;
%e A185206 20: 1, 1, 7;
%e A185206 21: 1, 0, 8;
%e A185206 22: 1, 1, 10;
%e A185206 23: 1, 0, 11;
%e A185206 24: 1, 1, 15;
%e A185206 25: 1, 0, 16;
%e A185206 26: 1, 1, 20;
%e A185206 27: 1, 0, 23;
%e A185206 28: 1, 1, 28, 1;
%e A185206 29: 1, 0, 31, 0;
%e A185206 30: 1, 1, 39, 1;
%e A185206 31: 1, 0, 43, 0;
%e A185206 32: 1, 1, 52, 6;
%e A185206 33: 1, 0, 59, 0;
%e A185206 34: 1, 1, 70, 37;
%e A185206 35: 1, 0, 79, 0;
%e A185206 36: 1, 1, 95, 432;
%e A185206 37: 1, 0, 106, 0;
%e A185206 38: 1, 1, 125, 8119;
%e A185206 39: 1, 0, 142, 0;
%e A185206 40: 1, 1, 166, 191254;
%e A185206 41: 1, 0, 187, 0;
%e A185206 42: 1, 1, 220, 4855919;
%e A185206 43: 1, 0, 247, 0;
%e A185206 44: 1, 1, 287, 127937854;
%e A185206 45: 1, 0, 325, 0;
%e A185206 46: 1, 1, 375, 3482858263;
%e A185206 47: 1, 0, 423, 0;
%e A185206 48: 1, 1, 490, 98176518259;
%e A185206 49: 1, 0, 551, 0;
%Y A185206 Disconnected k-regular simple graphs with girth at least 6: A185216 (all k), this sequence (triangle); A185226 (k=2), A185236 (k=3), A185246 (k=4).
%K A185206 nonn,hard,tabf
%O A185206 1,28
%A A185206 _Jason Kimberley_, Nov 03 2012