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On the expansion of Ramanujan's continued fraction of order sixteen

摘要


We give 2-, 4-, 8- and 16-dissections of a continued fraction of order sixteen. We show that the sign of the coeffcients in the power series expansion of the continued fraction of order sixteen is periodic with period 16. We also give combinatorial interpretations for the coeffcients in the power series expansion of the continued fraction of order sixteen.

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