TOPICS
Pseudosmarandache Function
The pseudosmarandache function 
, for a positive integer 
,
is the smallest positive integer such that
![sum_(k=1)^(Z(n))k=1/2Z(n)[Z(n)+1]](https://mathworld.wolfram.com/images/equations/PseudosmarandacheFunction/NumberedEquation1.svg) |
is divisible by 
. The values for 
, 2, ... are 1, 3, 2, 7, 4, 3, 6, 15, 8, 4, ... (OEIS A011772; Kashihara 1996; Russo 2000, p. 4).
See also
Smarandache FunctionExplore with Wolfram|Alpha
References
Ashbacher, C. "Problem 514." Pentagon 57, 36, 1997.Kashihara, K. "Comments and Topics on Smarandache Notions and Problems." Vail, AZ: Erhus University Press, 1996.Russo, F. A Set of New Smarandache Functions, Sequences, and Conjectures in Numer Theory. Lupton, AZ: American Research Press, 2000.Sloane, N. J. A. Sequence A011772 in "The On-Line Encyclopedia of Integer Sequences."Referenced on Wolfram|Alpha
Pseudosmarandache FunctionCite this as:
Weisstein, Eric W. "Pseudosmarandache Function." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/PseudosmarandacheFunction.html