Question Number 174649 by Shrinava last updated on 06/Aug/22
Commented by MJS_new last updated on 07/Aug/22
$$\mathrm{questions}\:\mathrm{like}\:\mathrm{this}\:\mathrm{one}\:\mathrm{make}\:\mathrm{no}\:\mathrm{sense}... \\ $$$$\int\frac{{dx}}{\mathrm{3}+\mathrm{cos}\:{x}}=\frac{\sqrt{\mathrm{2}}}{\mathrm{2}}\mathrm{arctan}\:\frac{\sqrt{\mathrm{2}}\mathrm{tan}\:\frac{{x}}{\mathrm{2}}}{\:\mathrm{2}}\:+{C} \\ $$$${a}_{{n}} \:\mathrm{is}\:\mathrm{not}\:\mathrm{unique}. \\ $$$$\mathrm{if}\:\mathrm{it}'\mathrm{s}\:\mathrm{polynomial}: \\ $$$${a}_{\mathrm{2022}} =−\frac{\mathrm{346}\:\mathrm{664}\:\mathrm{102}\:\mathrm{219}\:\mathrm{438}\:\mathrm{810}\:\mathrm{516}\:\mathrm{915}\:\mathrm{452}}{\mathrm{11}} \\ $$
Commented by Shrinava last updated on 07/Aug/22
$$\mathrm{a}\left(\mathrm{n}\right)\:\mathrm{is}\:\mathrm{n}\:\mathrm{write}\:\mathrm{in}\:\mathrm{base}\:\mathrm{4} \\ $$
Commented by MJS_new last updated on 07/Aug/22
$$\mathrm{one}\:\mathrm{of}\:\mathrm{a}\:\mathrm{zillion}\:\mathrm{possibilities}. \\ $$