-736

Appears in sequences

• Expansion of e.g.f.: sin(sinh(log(1+x))).at n=7A009487
• Triangle of Salie numbers.at n=24A065547
• Related to series for Laplace limit constant.at n=4A074768
• a(n) = (4*4^n + (-6)^n)/5.at n=5A083297
• Fourth column of Salié-triangle A065547.at n=3A095652
• Riordan array (1/(1+x), x(1-x)/(1+x)^2).at n=41A110511
• Triangular array, see Mathematica code.at n=40A122773
• Triangle of coefficients of the Pollaczek polynomials with a=1, b=1 multiplied by n! to make then integers.at n=11A136454
• Expansion of (1-2x-5x^2-7x^3+x^6)/((1-x)(1-x^3)^2).at n=32A141352
• Irregular triangle read by rows: first row is 1, and the n-th row gives the coefficients in the expansion of (1/2*x)*(1 - 2*x*(1 - x))^(n + 1)*Li(-n, 2*x*(1 - x)), where Li(n, z) is the polylogarithm.at n=37A142147
• Let F(x) = 1 + 1*x + 4*x^2 + 10*x^3 + ..., the g.f. for A000293 (solid partitions), and write F(x) = 1/Product_{n>=1} E(n)^a(n) where E(n) = Product_{k>=n} (1 - x^(n*k)).at n=16A193718
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of (f(i,j)), where f(i,j)=(2i-1 if max(i,j) is odd, and 0 otherwise) as in A204173.at n=30A204174
• G.f.: Product_{k>0} (1 - x^k)^4 * (1 - (-x)^k)^8.at n=15A225543
• Smallest term in wrecker ball sequence starting with n.at n=29A248952
• 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=41A270324
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 262", based on the 5-celled von Neumann neighborhood.at n=43A271068
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 318", based on the 5-celled von Neumann neighborhood.at n=52A271253
• Triangle T(n, m) appearing in the expansion of the scaled phase space coordinate qhat of the plane pendulum in terms of the Jacobi nome q and sin(v) multiplying even powers of 2*cos(v), with v = u/((2/Pi)*K(k)).at n=6A275790
• Coefficients in the expansion of 1/([r] + [2r]x + [3r]x^2 + ...); [ ] = floor, r = 7/4.at n=15A279678
• Expansion of 1/(1 - x/(1 + x/(1 + x^2/(1 + x^3/(1 + x^4/(1 + x^5/(1 + ...))))))), a continued fraction.at n=63A302015