Minhui Zhu
Abstract
For any positive integer n, let Sdf(n) denotes the Smarandance double factorial function, then Sdf(n) is defined as least positive integer m such that m!! is divisible by n. In this paper, we study the mean value properties of the additive analogue of Sdf(n) and give an interesting mean value formula for it.
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For any positive integer n, let Sdf(n) denotes the Smarandance double factorial function, then Sdf(n) is defined as least positive integer m such that m!! is divisible by n. In this paper, we study the mean value properties of the additive analogue of Sdf(n) and give an interesting mean value formula for it.
Key concepts: Integer (computer science), Mathematics, Value (mathematics), Factorial, Function (biology), Mean value, Combinatorics, Statistics