BINARY AND SEMI-FIBONACCI PARTITIONS

Print ISSN: 2319-1023 | Online ISSN:

Abstract

It is proved that the partitions of n into powers of two with all parts appearing an odd number of times equals the number of Semi-Fibonacci partition of n. The parity of the number of such partitions is also exhibited.

Keywords and Phrases

Binary partitions, semi-Fibonacci partitions.

A.M.S. subject classification

11P81, 05A19.

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