, , , , .
. . 10- . ( , , ) . -, 1963 .
.
(1, 1, 2, 3, 5, 8) 1, 2, 4, 8, 16... . : 2 = 1 + 1; 4 = 2 + 2..., 2 = 1 + 1, 3 = 2 + 1, 5 = 3 + 2.... , , ? , , - ?
, S, : 0, 1, 2, 3, 4, 5... , S + 1 , S . n - φS (n), φS (n) = φS (n 1) + φS (n S 1).
, S = 0 , S = 1 , S = 2, 3, 4. , S - .
S - S - xS+1 xS 1 = 0.
, S = 0 , S = 1 .
S- S-! , S- S- .
, S- , .. (, , 1984). , , , ( , , , . ) , S-. e , S- . , , .
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S- S- .
, , S-, S > 0 . , . , ; . . , , , 10, 5, 2, , .
, , , (, , ); .
, ! S-. , , , .