-1350

Appears in sequences

• Expansion of e.g.f.: sinh(tan(log(1+x))).at n=6A009601
• Expansion of tan(sinh(log(1+x))).at n=6A009676
• Expansion of Product_{k>=1} (1 - x^k)^9.at n=39A010817
• Triangle T(n,k) = k! * Stirling1(n,k), 1<=k<=n.at n=17A048594
• Triangle read by rows: a(n, m) = S1(n, m)*3^(n-m), where S1 are the signed Stirling numbers of first kind A008275 (n >= 1, 1 <= m <= n).at n=11A051141
• Triangle of coefficients in the numerators of rational functions in tanh(1) that express the (2n)th du Bois-Reymond constants as C_0 = 0, C_2 = -4 - 1/(1-tanh(1)), for n>1, C_2n = -3 - (Sum_{k=0..n} a(n,k)*tanh(1)^k) / (2^n*n! * (1-tanh(1))^n).at n=24A104053
• Triangle of coefficients of square of Hermite polynomials divided by 2^n with argument sqrt(x/2).at n=22A111595
• Determinant of n X n matrix of first n^2 terms of Kolakoski sequence (A000002).at n=33A119493
• Irregular triangle read by rows: T(n,k) (n>=1, 0<=k<=n(n-1)/2) is such that Sum_k T(n,k)*q^k gives the expectation of the number of connected components in a random graph on n labeled vertices where every edge is present with probability q.at n=38A125210
• Irregular triangle read by rows: B(n,k) (n>=1, 0<=k<=n(n-1)/2) is such that SUM B(n,k)*q^(n*(n-1)/2-k) gives the expectation of the number of connected components in a random graph on n labeled vertices where every edge is present with probability q.at n=27A127258
• Row sums of triangle A132898.at n=35A132899
• Matrix inverse of triangle A136590.at n=24A136595
• Column 3 of triangle A136595.at n=3A136597
• A triangular sequence of coefficients from a three level exponential expansion function: f(x,t) = log(1 + t)*(1 - t)*exp(x*(t - t^2)).at n=18A137455
• A triangle of coefficients of polynomials with roots as the Pi-digits base ten A000796(n)=d(n):d(1)=3; p(x,n)=-d(1)*Product[x-d(m),{m,2,n}].at n=42A152575
• First differences of A046163.at n=44A153171
• Triangle T(n, k) = Product_{j=1..k} Product_{i=0..j-1} ( 1 - (n-k+1)*(3*i-2) ) with T(n, 0) = 1 and T(n, n) = n!, read by rows.at n=38A156730
• Expansion of a(q) * b(q)^2 in powers of q where a(), b() are cubic AGM theta functions.at n=14A181976
• Approximate series expansion of arccosh(exp(3*x) - sin(3*x)).at n=5A202366
• Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of Product_{j>=1} 1/(1+x^j)^(j^k) in powers of x.at n=59A284993