-572

Appears in sequences

• Expansion of (1-4*x)^(5/2).at n=10A002422
• Coefficients of modular function G_2(tau).at n=32A005760
• Partition function coefficients for square lattice spin 3/2 Ising model.at n=27A010110
• Expansion of e.g.f.: exp(exp(x)-sec(x))=1+x+1/2!*x^2+2/3!*x^3+1/4!*x^4-8/5!*x^5...at n=7A013327
• Expansion of (1-4*x)^(13/2).at n=9A020925
• Expansion of (1-4*x)^(13/2).at n=10A020925
• Riordan array (1,c(-x)), where c(x) = g.f. of Catalan numbers.at n=49A099039
• a(n) = -4*binomial(2*n-5, n-4)/n for n > 0 and a(0) = 1.at n=9A115143
• G.f.: A(x) = (x-x^2) o x/(1-x) o (1-sqrt(1-4*x))/2, a composition of functions involving the Catalan function and its inverse.at n=7A120009
• Square table, read by antidiagonals, of coefficients of x^k in the n-th self-composition of the g.f. of A120009, so that: T(n,k) = [x^k] { (x-x^2) o x/(1-n*x) o (1-sqrt(1-4*x))/2 } for n>=1, k>=1.at n=35A120013
• Expansion of a(q) * f(-q)^4 where f() is a Ramanujan theta function and a() is a cubic AGM function.at n=41A152243
• Riordan array (f(x), x*f(x)) where f(x) is the g.f. of A168491.at n=39A171567
• Expansion of 1/((1 + x^3 - x^4)*(1 - x)).at n=41A177825
• Triangle Id-(xc(x),xc(x)), c(x) the g.f. of the Catalan numbers A000108.at n=48A181645
• Determinant of the n X n matrix with (i,j)-entry equal to 1 or 0 according as |i-j| is prime or not.at n=14A228638
• Expansion of f(-x) * f(x^2, x^10) / f(-x^3)^2 in powers of x where f(, ) is Ramanujan's general theta function.at n=37A263051
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 150", based on the 5-celled von Neumann neighborhood.at n=27A270324
• Irregular triangle read by rows: T(n,m) = coefficients in a power/Fourier series expansion of an arbitrary anharmonic oscillator's exact phase space trajectory.at n=49A276738
• Irregular triangle read by rows: T(n,m) = coefficients in a power/Fourier series expansion of an arbitrary anharmonic oscillator's exact phase space trajectory.at n=52A276738
• Reduced A276850.at n=43A276851