Add to ORKGThe triangular numbers are formed by partial sum of the series 1+2+3+4+5+6+7….+n In other words, triangular numbers are those counting numbers that can be written as = 1+2+3+…+ n. So, T1= 1 T2= 1+2=3 T3= 1+2+3=6 T4= 1+2+3+4=10 T5= 1+2+3+4+5=15 T6= 1+2+3+4+5+6= 21 T7= 1+2+3+4+5+6+7= 28 T8= 1+2+3+4+5+6+7+8= 36 T9=1+2+3+4+5+6+7+8+9=45 T10 =1+2+3+4+5+6+7+8+9+10=55 In this paper some important properties of triangular numbers are studied
Strong empirical evidence supports conjectures that certain number patterns always hold. These patte...
Among several interesting number triangles that exist in mathematics, Pascal’s triangle is one of th...
In the article the formal characterization of triangular numbers (famous from [15] and words “EYPHKA...
The triangular numbers are formed by the partial sum of the series 1+2+3+4+5+6+7….+n [2]. In o...
The triangular numbers are formed by partial sum of the series 1+2+3+4+5+6+7….+n [2]. In other...
A triangular number is a number N that satisfies that N dots can be arranged in increasing order to ...
The triangular numbers is a series of number that add the natural numbers. Parabolic shapes emerge w...
In a previous paper (1), I stated many conjectures about triangular numbers. Since submitting that p...
Triangular numbers are integers of the form (n²+n)/2; they are 0, 1, 3, 6, 10, 15, 21, 28, …. As a t...
Triangular numbers are integers of the form (n²+n)/2; they are 0, 1, 3, 6, 10, 15, 21, 28, …. As a t...
I define an increasing function from triangular numbers to triangular numbers and prove it preserves...
summary:In this paper, we demonstrate that 1 is the only integer that is both triangular and a repun...
summary:In this paper, we demonstrate that 1 is the only integer that is both triangular and a repun...
Triangular arrays are a unifying thread throughout various areas of discrete mathematics such as num...
Triangular arrays display coefficients of polynomials in a way that allows mathematicians to find an...
Strong empirical evidence supports conjectures that certain number patterns always hold. These patte...
Among several interesting number triangles that exist in mathematics, Pascal’s triangle is one of th...
In the article the formal characterization of triangular numbers (famous from [15] and words “EYPHKA...
The triangular numbers are formed by the partial sum of the series 1+2+3+4+5+6+7….+n [2]. In o...
The triangular numbers are formed by partial sum of the series 1+2+3+4+5+6+7….+n [2]. In other...
A triangular number is a number N that satisfies that N dots can be arranged in increasing order to ...
The triangular numbers is a series of number that add the natural numbers. Parabolic shapes emerge w...
In a previous paper (1), I stated many conjectures about triangular numbers. Since submitting that p...
Triangular numbers are integers of the form (n²+n)/2; they are 0, 1, 3, 6, 10, 15, 21, 28, …. As a t...
Triangular numbers are integers of the form (n²+n)/2; they are 0, 1, 3, 6, 10, 15, 21, 28, …. As a t...
I define an increasing function from triangular numbers to triangular numbers and prove it preserves...
summary:In this paper, we demonstrate that 1 is the only integer that is both triangular and a repun...
summary:In this paper, we demonstrate that 1 is the only integer that is both triangular and a repun...
Triangular arrays are a unifying thread throughout various areas of discrete mathematics such as num...
Triangular arrays display coefficients of polynomials in a way that allows mathematicians to find an...
Strong empirical evidence supports conjectures that certain number patterns always hold. These patte...
Among several interesting number triangles that exist in mathematics, Pascal’s triangle is one of th...
In the article the formal characterization of triangular numbers (famous from [15] and words “EYPHKA...