Sodium acetate catalyzed the multi-component reaction of acetophenone, aromatic aldehydes, and acetoacetanilide in the water-ethanol mixture (1:1) at ambient temperature via Claisen-Schmidt condensation results in the formation of highly substituted cyclohexenones in 89–98% yields. The developed efficient catalytic approach to the substituted cyclohexenones – the promising ...

In the title compound, C19H25Cl2NOSi, the NH group and the carbonyl O atom of the amide fragment are involved in an inter-molecular N-H⋯O hydrogen bond forming chains of mol-ecules. The plane of the benzene ring forms a dihedral angle of 50.5 (2)° with respect to the silolane ring and an angle of 49.74 (2)° with the cyclo-pentyl moiety.

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Given the positive integers m,n, solving the well known symmetric Diophantine equation xm+kyn=zm+kwn, where k is a rational number, is a challenge. By computer calculations, we show that for all integers k from 1 to 500, the Diophantine equation x6+ky3=z6+kw3 has infinitely many nontrivial (y≠w) rational solutions. Clearly, the same result holds for positive integers k whose cube-free part is n...