New modular properties of bell numbers
نویسنده
چکیده
The Bell number B, is the number of partitions of a finite set whose cardinality is n. The modular properties of Bell numbers have been studied by many authors. It is well known that the sequence of the residues of Bell numbers modulo any integer satisfies a linear recurrence and is periodic [ 1, 68, 13, 143. When the modulus is prime, this recurrence is particularly simple. Touchard [16] shows the congruence
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ورودعنوان ژورنال:
- J. Comb. Theory, Ser. A
دوره 58 شماره
صفحات -
تاریخ انتشار 1991