-3780

Appears in sequences

• Expansion of e.g.f.: cosh(tan(x)*log(1+x)).at n=7A009163
• sec(tan(x)*log(x+1))=1+12/4!*x^4-60/5!*x^5+570/6!*x^6-3780/7!*x^7...at n=7A012359
• Expansion of e.g.f.: cosh(arctanh(x)*log(x+1)) = 1+12/4!*x^4-60/5!*x^5+570/6!*x^6...at n=7A012706
• Expansion of e.g.f.: sec(arctanh(x)*log(x+1))=1+12/4!*x^4-60/5!*x^5+570/6!*x^6-3780/7!*x^7...at n=7A012707
• Expansion of e.g.f. sin(log(x+1) - tan(x)).at n=8A013234
• arcsinh(log(x+1)-tan(x))=-1/2!*x^2-6/4!*x^4+8/5!*x^5-105/6!*x^6...at n=8A013240
• Expansion of Product_{m>=1} (1+q^m)^(-6).at n=13A022601
• McKay-Thompson series of class 8b for Monster.at n=26A058088
• Infinite square array read by antidiagonals: T(m, 0) = 1, T(m, 1) = m; T(m, k) = (m - k + 1) T(m+1, k-1) - (k-1) (m+1) T(m+2, k-2).at n=60A105937
• McKay-Thompson series of class 8c for the Monster group.at n=26A112145
• A triangular sequence of coefficients based on the expansion of a Morse potential type function: p(x,t) = exp(x*t)*(exp(-2*t) - 2*exp(-t)).at n=49A138106
• A(n,k,m) is the number of permutations of an n-set with k disjoint cycles of length less than or equal to m, called the (n,k)-th m-restrained Stirling numbers of the first kind, and denoted by mS_1(n,k). The sequence shows the case of m=3.at n=41A171996
• a(n) = 2n(19-n).at n=54A182428
• Triangle read by rows: numerators of degenerate Bernoulli numbers written as powers of lambda.at n=52A209123
• Irregular triangle read by rows of normalized Girard-Waring formula (cf. A210258), for m=6 data values.at n=37A288211
• Coefficients in expansion of E_4^(3/4).at n=2A289318
• Triangle read by rows, expansion of exp(x*z)*z*((exp(z) + 1)/((exp(z) + 2*exp(-z/2)*cos(z*sqrt(3)/2))/3) -1), for n >= 1 and 0 <= k <= n-1.at n=50A294034
• Expansion of g.f. A(x,y) satisfying 0 = Sum_{n=-oo..+oo} x^n * A(x,y)^n * (y - x^(n-1))^(n+1), as a triangle of coefficients T(n,k) of x^n*y^k in A(x,y), read by rows n >= 0.at n=41A366730