127100

Appears in sequences

• Number of primitive (aperiodic, or Lyndon) 3-asymmetric rhythm cycles: ones having no nontrivial shift automorphism. 3-asymmetric rhythm cycles (A115115): binary necklaces of length 3n subject to the restriction that for any k if the k-th bead is of color 1 then the (k+n)-th and (k+2n)-th beads (modulo 3n) are of color 0.at n=10A115117
• Numbers a(n) with property a(n) + a(n+5) = 2^(n+5) - 1 = A000225(n+5).at n=17A224521
• a(n) = Sum_{k=0..n} 2^(n-k) * binomial(n,k) * binomial(2*n+1,k).at n=6A388129