Question Number 189613 by mokys last updated on 19/Mar/23
$${find}\:{nth}\:{term}\:{of}\:\left(\mathrm{1},\mathrm{4},\mathrm{16},\mathrm{74},\mathrm{404},\mathrm{2578}\right)\:? \\ $$
Answered by Frix last updated on 19/Mar/23
$$\mathrm{One}\:\mathrm{of}\:\mathrm{infinite}\:\mathrm{possibilities}: \\ $$$${a}_{{n}} =\frac{\mathrm{1157}{n}^{\mathrm{5}} }{\mathrm{120}}−\frac{\mathrm{547}{n}^{\mathrm{4}} }{\mathrm{4}}+\frac{\mathrm{17927}{n}^{\mathrm{3}} }{\mathrm{24}}−\frac{\mathrm{7705}{n}^{\mathrm{2}} }{\mathrm{4}}+\frac{\mathrm{11527}{n}}{\mathrm{5}}−\mathrm{998} \\ $$