-2940

Appears in sequences

• E.g.f.: Expansion of cosh(sinh(x)*log(1+x)).at n=7A009154
• Expansion of e.g.f.: cosh(arcsin(x)*log(x+1)).at n=7A012313
• Expansion of e.g.f. sec(arcsin(x)*log(x+1)).at n=7A012314
• Expansion of e.g.f.: sec(sinh(x)*log(x+1))=1+12/4!*x^4-60/5!*x^5+450/6!*x^6-2940/7!*x^7...at n=7A012517
• Ramanujan's function F_7(q).at n=41A064512
• Expansion of (1-x)^(-1)/(1+x-x^2-2*x^3).at n=35A077901
• Triangle read by rows: row n gives coefficients C(n,j) for a Sheffer sequence (binomial-type) with raising operator -x { 1 + W[ -exp(-2) * (2+D) ] } where W is the Lambert W multi-valued function.at n=30A135338
• Integral form of A137286: Triangle of coefficients of Integral form of recursive orthogonal Hermite polynomials given in Hochstadt's book: n*IP(x, n) = x*P(x, n ) - n*P'(x, n - 2); derived to a constant from the differential recursion: P''(x,n)=x*P'(x,n)-n*P(x,n).at n=49A136262
• Triangle T(n,0)=0 and T(n,k) = -A028421(n-1,k-1), 0<k<=n.at n=32A136426
• a(n) = 2n(19-n).at n=49A182428
• Triangle T(n,m) = coefficient of x^n in expansion of (x^2*cotan(x))^m = sum(n>=m, T(n,m) x^n * m!^2/n!^2).at n=25A199542
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of max{1+j mod i, 1+i mod j} (A204018).at n=27A204019
• E.g.f. is series reversion of x - log(1+x)^2.at n=6A206304
• Triangle read by rows, Bell transform of the complementary Bell numbers (A000587).at n=62A264435
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 35", based on the 5-celled von Neumann neighborhood.at n=31A269817
• Triangle read by rows, e.g.f. exp(x*z)*(2*(exp(z)+1)/(cosh(z)+cos(z))-1).at n=59A281587
• Triangle read by rows. Row n gives the numerators of the coefficients of the Bernoulli polynomials of the second kind (in rising powers).at n=51A290317
• Consider the e.g.f. A(x,y) = Sum_{n>=0} Sum_{k=0..n} T(n,k) * x^(2*n-2*k+1) * y^(2*k) / (2*n+1)! and related functions B(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<=n) of A(x,y).at n=13A326797
• Expansion of e.g.f. exp(f(x) - 1) where f(x) = (1 - x)^x = e.g.f. for A007114.at n=7A354610