53820

Appears in sequences

• Number of dissections of a polygon: binomial(4*n, n)/(3*n + 1).at n=7A002293
• a(n) = floor(C(n,6)/7).at n=28A011797
• Number of necklaces with 7 black beads and n-7 white beads.at n=22A032192
• 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=22A051172
• A triangle (lower triangular matrix) composed of Pfaff-Fuss (or Raney) sequences.at n=47A062993
• Third level generalization of Catalan triangle (0th level is Pascal's triangle A007318; first level is Catalan triangle A009766; 2nd level is A069269).at n=35A069270
• Third level generalization of Catalan triangle (0th level is Pascal's triangle A007318; first level is Catalan triangle A009766; 2nd level is A069269).at n=51A069270
• Array read by antidiagonals giving number of paths up and left from (0,0) to (n,kn) where x/y <= k for all intermediate points.at n=62A070914
• Length of lists created by n substitutions k -> Range[k+1,1,-3] starting with {1}, counting down from k+1 to 1 step -3.at n=20A084080
• Numbers n such that n*((2^61-1)^4) - 1 and n*((2^61-1)^4) + 1 are twin primes.at n=0A099231
• a(3n+k) = (k+1)*binomial(4n+k, n)/(3n+k+1), where k is n reduced mod 3.at n=21A124753
• Generalized or s-Catalan numbers.at n=31A137211
• Triangle of Generalized Runyon numbers R_{n,k}^(4) read by rows.at n=27A173621
• Numerators of a series sum related to a game of chance.at n=7A181784
• Triangle T(n,m) read by rows, obtained from [A(x)]^m = Sum_{n>=m} T(n,m)*x^n, where A(x) (the g.f. for A069271) satisfies 2*x^2*A(x)^3 = 1 - 2*x*A(x) - sqrt(1-4*x*A(x)).at n=29A188108
• Numbers with prime factorization pqrs^2t^2.at n=32A189989
• Molecular topological indices of the crossed prism graphs.at n=12A192793
• Triangle read by rows: the x = 1+q Narayana triangle at m=3.at n=21A243661
• Triangle read by rows: the reversed x = 1+q Narayana triangle at m=3.at n=21A243663
• Larger of bi-unitary amicable pair.at n=14A292981