[PDF][PDF] Double Sequential Representations of Natural Numbers-II
IJ Taneja - 2016 - rgmia.org
Double Sequential Representations of Natural Numbers - II Page 1 Inder J. Taneja RGMIA
Research Report Collection, 19(2016), pp. 1-42, http://rgmia.org/v19.php Double Sequential …
Research Report Collection, 19(2016), pp. 1-42, http://rgmia.org/v19.php Double Sequential …
[PDF][PDF] Pyramidical Representations of Natural Numbers
IJ Taneja - 2016 - rgmia.org
Pyramidical Representations of Natural Numbers Page 1 Inder J. Taneja RGMIA Research
Report Collection, 19(2016), pp. 1-95, http://rgmia.org/v19.php Pyramidical Representations of …
Report Collection, 19(2016), pp. 1-95, http://rgmia.org/v19.php Pyramidical Representations of …
[PDF][PDF] Triple Representations of Natural Numbers-I
IJ Taneja - 2016 - rgmia.org
This work brings representations of natural numbers in three different ways. One is based on
power of same digits used in bases with permutations. The other two are based on …
power of same digits used in bases with permutations. The other two are based on …
Single digit representations of natural numbers
IJ Taneja - arXiv preprint arXiv:1502.03501, 2015 - arxiv.org
In this work, we established symmetric representation of numbers where one can use any of
9 digits giving the same number. The representations of natural numbers from 0 to 1000 are …
9 digits giving the same number. The representations of natural numbers from 0 to 1000 are …
Crazy Sequential Representation: Numbers from 0 to 11111 in terms of Increasing and Decreasing Orders of 1 to 9
IJ Taneja - arXiv preprint arXiv:1302.1479, 2013 - arxiv.org
Natural numbers from 0 to 11111 are written in terms of 1 to 9 in two different ways. The first
one in increasing order of 1 to 9, and the second one in decreasing order. This is done by …
one in increasing order of 1 to 9, and the second one in decreasing order. This is done by …
[PDF][PDF] Single Letter Fraction-Type Representations of Natural Numbers-I
IJ Taneja - 2017 - researchgate.net
This work brings representations of natural numbers from 1 to 5000 in terms of single letter
a. For any value of letter a from 1 to 9, the results are always same. To bring these results …
a. For any value of letter a from 1 to 9, the results are always same. To bring these results …
[PDF][PDF] Flexible Power Representations of Natural Numbers
IJ Taneja - 2016 - rgmia.org
Flexible Power Representations of Natural Numbers Page 1 Flexible Power Representations
of Natural Numbers Inder J. Taneja1 Abstract This work brings natural numbers from 0 to …
of Natural Numbers Inder J. Taneja1 Abstract This work brings natural numbers from 0 to …
[PDF][PDF] Running Expressions in Increasing and Decreasing Orders of Natural Numbers Separated by Equality Signs
IJ Taneja - 2015 - rgmia.org
Author [9] studied previously, representation of numbers using the digits from 1 to 9 in
increasing and decreasing orders. For comments see [1, 2, 7, 8]. Historical study of numbers …
increasing and decreasing orders. For comments see [1, 2, 7, 8]. Historical study of numbers …
[PDF][PDF] Crazy Power Representations of Natural Numbers
IJ Taneja - 2016 - rgmia.org
This paper works with representations of natural numbers from 0 to 11111 written in terms of
expressions with additions, subtractions and exponents. Digits used are from 1 to 9 in such a …
expressions with additions, subtractions and exponents. Digits used are from 1 to 9 in such a …
[PDF][PDF] On the representation of the natural numbers as the sum of three terms of the sequence⌊ n2 a⌋
B Farhi - J. Integer Seq, 2013 - kurims.kyoto-u.ac.jp
In this note, we study the representation of a natural number as the sum of three natural
numbers having the form⌊ n2 a⌋(n∈ N), where a is a fixed positive integer and⌊.⌋ denotes …
numbers having the form⌊ n2 a⌋(n∈ N), where a is a fixed positive integer and⌊.⌋ denotes …