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In the paper, the authors recover, correct, and extend two representations for derangement numbers in terms of a tridiagonal determinant.
In the title compound, C(28)H(22)N(4)O(4), the mol-ecule lies on a crystallographic twofold axis. The quinoline ring is essentially planar (give max or rms deviation 0.0186 Å), and the dihedral angle… (More)
Abstract In the paper, the authors significantly and meaningfully simplify two families of nonlinear ordinary differential equations in terms of the Stirling numbers of the first and second kinds.
In the paper, by virtue of techniques in combinatorial analysis, the authors simplify two families of nonlinear ordinary differential equations in terms of the Stirling numbers of the first kind.… (More)
Abstract An efficient protocol has been accomplished for the synthesis of quaternary α-aminosuccinimides in toluene medium involving 2-phenylimidazo[1, 2-a]pyridine in a one-pot reaction promoted by… (More)
The mol-ecular and crystal structures of the title compound, C(23)H(28)Cl(2)N(2)O(2), are very close to those of the bromine-substituted analogue… (More)
In the note, the authors find several simple and explicit forms for a family of inhomogeneous linear ordinary differential equations studied in “D. Lim, Differential equations for Daehee polynomials… (More)
In the binuclear copper(II) title complex, [Cu2(C9H7O4)4(C2H3N)2], an inversion centre is situtated at the mid-point of the Cu-Cu bond. The Cu(II) atom together with its four coordinated O atoms are… (More)