By Euler L.
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Additional info for A theorem of arithmetic and its proof
0 = A0 A1 = , L20 L11 L30 L21 L12 L40 L22 L31 L13 L50 L23 L32 L41 L14 = A2 = , 1 4 A = = , 4! 0 1 = A0 A2 + A21 = + , 2 1 2 A A1 = = + , 2 0 = A3 = , 1 5 A = = , 5! 0 = A0 A3 + A1 A2 = + , 1 2 1 = + A A2 + A0 A21 = 2! 0 2! 1 3 A A1 = = + , 3! 0 = A4 = . + + , To calculate the value of a tree of Lkn : (i) Associate to each of the k + n edges a variable xi , with i = 1, . . , k + n. (ii) To each white vertex v, associate the factor Dm (xi1 , . . , xim ), where m is the valency of v and xi1 , . .
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