490337

Appears in sequences

• Number of words of length 2n-1 generated by the two letters s and t that reduce to the identity 1 by using the relations sssssss=1, tt=1 and stst=1. The generators s and t along with the three relations generate the 14-element dihedral group D7.at n=11A072844
• Number of walks of length n between two adjacent nodes in the cycle graph C_7.at n=22A094052
• a(n) = Sum_{k=0..floor(n/7)} binomial(n,7*k).at n=22A306852
• Cogrowth sequence for the 14-element dihedral group D7 = <S,T | S^7, T^2, (ST)^2>.at n=23A377573
• a(n) = Sum_{k=0..n} binomial(7*n+1,7*k).at n=3A387816
• a(n) = Sum_{k=0..n} binomial(2*n,7*k).at n=11A387845