\[\boxed{\text{1066.\ }\text{еуроки}\text{-}\text{ответы}\text{\ }\text{на}\text{\ }\text{пятёрку}}\]
\[\varphi(0) = 0^{2} + 0 + 1 = 1\]
\[\varphi(1) = 1^{2} + 1 + 1 = 3\]
\[\varphi(2) = 2^{2} + 2 + 1 =\]
\[= 4 + 2 + 1 = 7\]
\[\varphi(3) = 3^{2} + 3 + 1 =\]
\[= 9 + 3 + 1 = 13\]
\[\varphi(0) + \varphi(1) + \varphi(2) + \varphi(3) =\]
\[= 1 + 3 + 7 + 13 = 24\]