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 A185204 Triangular array D(n,k) counting disconnected k-regular simple graphs on n vertices with girth at least 4. 13
 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 4, 1, 1, 0, 4, 0, 1, 1, 6, 2, 1, 0, 7, 0, 1, 1, 10, 9, 1, 1, 0, 11, 0, 0, 1, 1, 15, 35, 2, 1, 0, 17, 0, 2, 1, 1, 23, 177, 15, 1, 1, 0, 26, 0, 35, 0, 1, 1, 33, 1153, 247, 1, 1, 0, 38, 0, 1692, 0, 1, 1, 49, 10341, 17409, 8, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,20 COMMENTS For n >= 0 and 0 <= k <= A002265(n). LINKS Jason Kimberley, Table of i, a(i)=D(n,k) for i = 1..147 (n = 1..32) Jason Kimberley, Incomplete table of i, n, k, D(n,k)=a(i) for n = 1..38 (i = 1..209) Jason Kimberley, Disconnected k-regular graphs with girth at least 4 EXAMPLE 0; 1; 1; 1, 1; 1, 0; 1, 1; 1, 0; 1, 1, 1; 1, 0, 1; 1, 1, 2; 1, 0, 2; 1, 1, 4, 1; 1, 0, 4, 0; 1, 1, 6, 2; 1, 0, 7, 0; 1, 1, 10, 9, 1; 1, 0, 11, 0, 0; 1, 1, 15, 35, 2; 1, 0, 17, 0, 2; CROSSREFS Disconnected k-regular simple graphs with girth at least 4: A185214 (any k), this sequence (triangle); specified degree k: A185224 (k=2), A185234 (k=3), A185244 (k=4), A185254 (k=5), A185264 (k=6), A185274 (k=7), A185284 (k=8), A185294 (k=9). Sequence in context: A185206 A185205 A029295 * A217522 A287520 A130094 Adjacent sequences:  A185201 A185202 A185203 * A185205 A185206 A185207 KEYWORD nonn,hard,tabf AUTHOR Jason Kimberley, Feb 22 2011 EXTENSIONS The b-file corrected and a-file expanded by the author, Jan 19 2013 STATUS approved

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Last modified August 4 10:00 EDT 2021. Contains 346446 sequences. (Running on oeis4.)