231880

Appears in sequences

• Fermat coefficients.at n=14A000972
• a(n) = binomial(5*n, n)/(4*n + 1).at n=7A002294
• a(n) is the number of Dyck paths of semilength n+6 having its first peak at height n+1.at n=24A005557
• a(n) = floor(C(n,6)/7).at n=35A011797
• Number of necklaces with 7 black beads and n-7 white beads.at n=29A032192
• Schoenheim bound L_1(n,7,6).at n=28A036834
• T(n,7), array T as in A051168; a count of Lyndon words; aperiodic necklaces with 7 black beads and n-7 white beads.at n=29A051172
• a(4n+k) = (k+1)*binomial(5n+k,n)/(4n+k+1), k=0..3.at n=28A118968
• a(n) = (Product_{i=1..5} n^i+i)/5!.at n=3A131675
• Generalized or s-Catalan numbers.at n=32A137211
• G.f. A(x) satisfies A(x) = 1 + x*A(x)^3*A(-x)^2.at n=14A143546
• a(n) = E(k)*C(n+k,k) = Euler(k)*binomial(n+k,k) for k=4.at n=30A154286
• a(n) = denominator of the sum S(n) defined in A376184.at n=3A376186