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 A291044 Irregular triangle read by rows: number of maximal irredundant sets of size k in the n-cycle graph. 2
 0, 2, 0, 3, 0, 0, 6, 0, 0, 10, 0, 0, 9, 2, 0, 0, 0, 14, 0, 0, 0, 8, 6, 0, 0, 0, 3, 27, 0, 0, 0, 0, 60, 2, 0, 0, 0, 0, 33, 33, 0, 0, 0, 0, 9, 84, 6, 0, 0, 0, 0, 0, 91, 52, 0, 0, 0, 0, 0, 14, 196, 2, 0, 0, 0, 0, 0, 3, 280, 60, 0, 0, 0, 0, 0, 0, 200, 272, 6 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,2 COMMENTS For each row, k lies in the range 0..floor(n/2). The upper end of the range is the upper irredundance number of the graph. LINKS Andrew Howroyd, Table of n, a(n) for n = 2..991 Eric Weisstein's World of Mathematics, Cycle Graph Eric Weisstein's World of Mathematics, Irredundant Set FORMULA T(n,k) = 0 for k < ceiling(n/3). Sum_{k=0..floor(n/2)} T(n,k) = A286954(n). - Eric W. Weisstein, Jun 11 2021 EXAMPLE Triangle begins: 0, 2; 0, 3; 0, 0, 6; 0, 0, 10; 0, 0, 9 2; 0, 0, 0, 14; 0, 0, 0, 8, 6; 0, 0, 0, 3, 27; 0, 0, 0, 0, 60, 2; 0, 0, 0, 0, 33, 33; 0, 0, 0, 0, 9, 84, 6; 0, 0, 0, 0, 0, 91, 52; 0, 0, 0, 0, 0, 14, 196, 2; ... As polynomials these are 2*x; 3*x; 6*x^2; 10*x^2; 9*x^2 + 2*x^3; etc. CROSSREFS Row sums are A286954. Sequence in context: A113303 A080089 A322841 * A113290 A078442 A175663 Adjacent sequences: A291041 A291042 A291043 * A291045 A291046 A291047 KEYWORD nonn,tabf AUTHOR Andrew Howroyd, Aug 16 2017 STATUS approved

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Last modified April 23 22:36 EDT 2024. Contains 371917 sequences. (Running on oeis4.)