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 A186717 Irregular triangle C(n,k): the number of connected k-regular graphs on n vertices having girth at least seven. 11
 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 3, 0, 0, 1, 0, 0, 0, 1, 21, 0, 0, 1, 0, 0, 0, 1, 546, 0, 0, 1, 0, 0, 0, 1, 30368 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,74 LINKS Jason Kimberley, Table of i, a(i) for i = 1..126 (n = 1..39) Jason Kimberley, Connected regular graphs with girth at least 7 EXAMPLE 1; 0, 1; 0, 0; 0, 0; 0, 0; 0, 0; 0, 0, 1; 0, 0, 1; 0, 0, 1; 0, 0, 1; 0, 0, 1; 0, 0, 1; 0, 0, 1; 0, 0, 1; 0, 0, 1; 0, 0, 1; 0, 0, 1; 0, 0, 1; 0, 0, 1; 0, 0, 1; 0, 0, 1; 0, 0, 1; 0, 0, 1; 0, 0, 1, 1; 0, 0, 1, 0; 0, 0, 1, 3; 0, 0, 1, 0; 0, 0, 1, 21; 0, 0, 1, 0; 0, 0, 1, 546; 0, 0, 1, 0; 0, 0, 1, 30368; 0, 0, 1, 0; 0, 0, 1, 1782840; 0, 0, 1, 0; 0, 0, 1, 95079083; 0, 0, 1, 0; 0, 0, 1, 4686063120; 0, 0, 1, 0; CROSSREFS Triangular arrays C(n,k) counting connected simple k-regular graphs on n vertices with girth at least g: A068934 (g=3), A186714 (g=4), A186715 (g=5), A186716 (g=6), this sequence (g=7), A186718 (g=8), A186719 (g=9). Connected k-regular simple graphs with girth at least 7: A186727 (any k), this sequence (triangle); specific k: A185117 (k=2), A014375 (k=3). Triangular arrays C(n,k) counting connected simple k-regular graphs on n vertices with girth exactly g: A186733 (g=3), A186734 (g=4). Sequence in context: A192732 A092573 A307801 * A344833 A233286 A305802 Adjacent sequences:  A186714 A186715 A186716 * A186718 A186719 A186720 KEYWORD nonn,hard,tabf AUTHOR Jason Kimberley, Nov 28 2011 STATUS approved

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Last modified June 20 06:56 EDT 2021. Contains 345157 sequences. (Running on oeis4.)