-120960

Appears in sequences

• cos(arcsin(x)*sin(x))=1-12/4!*x^4-560/8!*x^8-120960/10!*x^10...at n=5A012332
• Expansion of e.g.f.: sech(arcsin(x)*sin(x)).at n=5A012339
• Expansion of e.g.f. log(sech(x) + arctanh(x)).at n=8A013209
• Expansion of e.g.f. arctan(log(x+1) - tan(x)).at n=10A013237
• a(n) = (2n)!/n! - (2n)!/(n-1)!.at n=5A119837
• Coefficients of a partition transform for Lagrange inversion of -log(1 - u(.)*t), complementary to A134685 for an e.g.f.at n=39A133932
• Coefficients of Laguerre recursive polynomials with an (n+2)!/2 multiplication factor and alpha=a0 =0 from Hochstadt: P(x, n) = (2*n + a0 + 1 - x)*P(x, n - 1)/(n + 1) - n*P(x, n - 2)/(n + 1);.at n=22A136533
• Triangular sequence from coefficients of the umbral calculus expansion of a Golden -Mean Bernoulli function(A001898): p(x,t)=t*phi^(x*t)/(phi^t - 1), where the golden ratio replaces "e".at n=26A137524
• Triangular sequence from coefficients of the umbral calculus expansion of a Golden -Mean Bernoulli function(A001898): p(x,t)=t*phi^(x*t)/(phi^t - 1), where the golden ratio replaces "e".at n=36A137524
• Triangle read by rows: the coefficient [t^n x^k] of n!*(n+2)! *exp(x*t) *(t*(1-2*exp(t))-2*exp(t)) / (2*(1-exp(t))), in row n, k=0..n+1.at n=45A176989
• Expansion of e.g.f. (1 + x)^4*log(1 + x).at n=11A274268
• Consider the e.g.f. B(x,y) = Sum_{n>=0} Sum_{k=0..floor(n/2)} T(n,k) * x^(2*n-2*k) * y^(2*k) / (2*n)! and related functions A(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<=floor(n/2)) of B(x,y).at n=11A326798
• Triangle of numbers T(n,k) = (-1)^(n-k)*(n+1)!*Stirling2(n,k)/(k+1).at n=26A356857
• E.g.f. satisfies A(x)^A(x) = 1/(1 - x)^(x^3).at n=9A356911
• Irregular triangle, read by rows: Coefficients of the polynomials P_n, n>=2 such that the series f(x) = c + c(x-c) + Sum_{n>=2} P_n(c)/c^((n-1)*(n+2)/2+1) (x-c)^n/n! satisfies f(c) = c and f'(f(x)) = x near the fixed point c in (0,oo).at n=57A375720