Binary Partitions Revisited

نویسندگان

  • Øystein J. Rødseth
  • James A. Sellers
چکیده

The restricted binary partition function bk(n) enumerates the number of ways to represent n as n = 2a0 + 2a1 + · · ·+ 2aj with 0 ≤ a0 ≤ a1 ≤ . . . ≤ aj < k. We study the question of how large a power of 2 divides the difference bk(2n) − bk−2(2n) for fixed k ≥ 3, r ≥ 1, and all n ≥ 1.

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عنوان ژورنال:
  • J. Comb. Theory, Ser. A

دوره 98  شماره 

صفحات  -

تاریخ انتشار 2002