Non-full equivalence of the four-dimensional Einstein-Gauss-Bonnet gravity and Horndeksi gravity for Bianchi type I metric

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For example, j k l ∈ { 234,423,342,235,523 , 352 , 245 , 524 , jkl\in\{234,423,342,235,523,352,245,524, 452,345,534,453 } 452,345,534,453\} for D = 6 D=6 and i = 1 i=1 . The total number of the elements in this set equals to 3 × C D − 2 3 3\times C_{D-2}^{3} , where C n m ≡ n ! / [ m ! ( n − m ) ! ] C_{n}^{m}\equiv n!/[m!(n-m)!] is the binomial coefficient
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