A note on the near pseudo Smarandache function

Vyawahare and Purohit [1] introduced the near pseudo Smarandache function, K(n). In this paper, we derive some more recurrence formulas satisfied by K(n). We also derive some new series, and give an expression for the sum of the ¯rst n terms of the sequence fK(n)g

A NOTE ON THE SMARANDACHE PRIME PRODUCT SEQUENCE

This paper gives some properties of the Smarandache prime product sequence

A note on the Smarandache inversion sequence

In a recent paper, Muneer introduced the Smarandache inversion sequence. In this paper, we study some properties of the Smarandache inversion sequence. Moreover, we find the necessary and su±cient condition such that [SI(n)]2 + [SI(n + 1)]2 is a perfect square

On some pseudo Smarandache function related triangles

This paper proves the existence of an infinite family of pairs of dissimilar Pythagorean triangles that are pseudo Smarandache related

Wandering in the world of Smarandache Numbers

Treating about ten Smarandache sequences

Palindromes in Some Smarandache-Type Functions

The objective of this paper is to investigate palindromes in three Smarandache-type arithmetic functions,namely, the Smarandache function S(n), the pseudo Smarandache function Z(n), and the Sandor-Smarandache function SS(n)