A set of new Smarandache functions, sequences and by Felice Russo PDF

By Felice Russo

ISBN-10: 1879585839

ISBN-13: 9781879585836

Show description

Read Online or Download A set of new Smarandache functions, sequences and conjectures in number theory PDF

Similar theory books

Finding Metaphor in Grammar and Usage: A Methodological by Gerard J. Steen PDF

Cognitive linguists have proposed that metaphor isn't just a question of language yet of concept, and that metaphorical idea monitors a excessive measure of conventionalization. on the way to produce converging facts for this concept of metaphor, quite a lot of info is presently being studied with a wide array of tools and strategies.

Sharing RF Spectrum with Commodity Wireless Technologies: - download pdf or read online

This ebook is ready the idea and perform of spectrum sharing and is aimed toward a large viewers. even though it addresses uncomplicated technical concerns, the emphasis is on perform instead of conception. In offering an total photo of spectrum sharing, this booklet covers the why--the regulatory facets in addition to the how--the technical elements.

New PDF release: Basic Principles of Plate Theory

Including one other quantity, whether just a slender one, to the technical books already released calls for a few justification. Mine is, first of all, that plate concept isn't really good represented within the on hand straight forward texts, and secondly that no latest textual content accurately covers glossy functions. the current account is meant to be hassle-free (though it is a relative time period) whereas nonetheless supplying stimulation and worthy event for the reader.

Frank Drewes, Carlos Martín-Vide, Bianca Truthe's Language and Automata Theory and Applications: 11th PDF

This ebook constitutes the refereed lawsuits of the eleventh overseas convention on Language and Automata idea and functions, LATA 2017, held in Umeå, Sweden, in March 2017. The 31 revised complete papers offered including four invited talks have been rigorously reviewed and chosen from seventy three submissions.

Additional resources for A set of new Smarandache functions, sequences and conjectures in number theory

Example text

Problem 9. Evaluate: ∞ S ( B 2) = sup all Smaran. B 2 seq. ∑ k =1 1 b(k ) that is, the largest reciprocal sum for all Smarandache B2 sequences. 12) Smarandache nonaveraging sequence (or Smarandache C sequences) An infinite Smarandache sequence c(n) of positive integers 1 ≤ c(1) ≤ c( 2) ≤ c(3)K is said nonaveraging if it contains no three terms in arithmetic progression. That is, c(i) + c( j) ≠ 2 ⋅ c (k ) for any three distinct terms c(i), c(j) and c(k) forming the sequence. Problem 10. Find some examples of Smarandache nonaveraging sequence.

Each sequence is labeled with an increasing initial number. 1) Smarandache repeated digit sequence with 1-endpoints 111, 1221, 13331, 144441, 1555551, 16666661, 177777771, 1888888881, 19999999991, 1101010101010101010101,..... Starting with n repeat it n times and then add 1 on the left and on the rigth. • • How many terms are primes? Observe that the sum of digits of each term is given by n 2 + 2 . Then the n-th term will be not a prime if n2 + 2 is an integer. 3 57 2) Smarandache repeated digit generalized sequence with n-endpoints n1n, n22n, n333n, n4444n, n55555n, n666666n, n7777777n, n88888888n, ....

Conjecture: None. • How many terms of that sequence are squarefree? 17) Smarandache nn3 sequence 11, 28, 327, 464, 5125, 6216, 7343, 8512, 9729, 101000, 111331, 121728, 63 132197, 142744, 153375, 164096 ...... The sequence is formed concatening n and n3 for n=1, 2, 3, 4..... 3 The n-th term of the sequence is given by a (n) = n ⋅ 10 d ( n ) + n 3 where d ( n 3 ) is the number of digits of n3 . • How many terms in this sequence are palindromes? • How many primes are in that sequence? Conjecture: A finite number.

Download PDF sample

A set of new Smarandache functions, sequences and conjectures in number theory by Felice Russo


by Charles
4.1

Rated 4.20 of 5 – based on 13 votes