51520

Appears in sequences

• Expansion of eta(q^10)^12/(eta(q^2)^4*eta(q^5)^8) in powers of q.at n=23A006710
• 8th-order Patalan numbers (generalization of Catalan numbers).at n=4A025753
• Numbers whose natural logarithm, in base 10, starts with 10 distinct digits.at n=21A113509
• Nonuple factorial, 9-factorial, n!9, n!!!!!!!!!.at n=32A114806
• Numbers n such that n-th and (n+1)-th primes are in A125146.at n=9A128120
• Ratio of quadruple Sum of k^2-1 to quadruple sum of k made into an integer sequence: (1/6)*(-1 + n)*(2 + n)*(3 + n)*(7 + n).at n=20A130863
• a(n) = 4*(4 + 9*n^2 + 15*n).at n=37A144449
• a(n) = Product_{k = 1..n-1} (9*k - 4).at n=4A147629
• Numbers with prime factorization pqrs^6.at n=33A190292
• Molecular topological index of the n-antiprism graph.at n=22A192791
• Irregular triangular array read by rows T(n,k) is the number of 2-colored labeled graphs that have exactly k edges, n >= 2, 0 <= k <= A033638(n).at n=43A201143
• Number of pairs of elements of the full transformational monoid T_n on {1,...,n} which generate a synchronizing monoid.at n=3A224539
• Refactorable numbers k such that 2*k + 1 is also a refactorable number.at n=3A281294
• Numbers n such that 13^n is the highest power of 13 dividing A240751(n).at n=21A286007
• Sum of the prime parts in the partitions of n into 7 parts.at n=41A309468
• Consider the e.g.f. D(x,y) = sqrt(1/2) * Sum_{n>=0} Sum_{k=0..2*n} T(n,k) * x^(2*n-k) * y^k / ((2*n-k)!*k!) and related functions S(x,y) and C(x,y), as defined in the Formula section. Sequence gives the triangular array of coefficients T(n,k) (n>=0, 0<=k<=2*n) of D(x,y).at n=94A326802
• Square table read by downward antidiagonals: n-th row has e.g.f. (1-9*x)^(-n/9).at n=50A392037