<-- Enter Number of rows to generate
      

Generate the first 6 rows of the

Floyd Triangle (natural numbers)

Floyd Values

1
23
456
78910
1112131415
161718192021

The sum of each row (n) is denoted below:

Sum Row(n)  =  n(n2 + 1)
  2

Floyd Table

Row #Math Work 1Math Work 2Math Work 3Row Sum
1
1(12 + 1)
2
1(2)
2
2
2
1
2
2(22 + 1)
2
2(5)
2
10
2
5
3
3(32 + 1)
2
3(10)
2
30
2
15
4
4(42 + 1)
2
4(17)
2
68
2
34
5
5(52 + 1)
2
5(26)
2
130
2
65
6
6(62 + 1)
2
6(37)
2
222
2
111


How does the Pascal-Floyd-Leibniz Triangle Calculator work?
Free Pascal-Floyd-Leibniz Triangle Calculator - This generates the first (n) rows of the following triangles:
Pascal‘s Triangle
Leibniz‘s Harmonic Triangle
Floyd‘s Triangle
This calculator has 1 input.

What 2 formulas are used for the Pascal-Floyd-Leibniz Triangle Calculator?

Floyds Triangle is built using natural numbers
Sum Row(n) for Floyds = n(n2 + 1)/2

For more math formulas, check out our Formula Dossier

What 4 concepts are covered in the Pascal-Floyd-Leibniz Triangle Calculator?

combination
a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter
nPr = n!/r!(n - r)!
leibnizs triangle
a triangular arrangement of unit fractions in which the outermost diagonals consist of the reciprocals of the row numbers and each inner cell is the cell diagonally above and to the left minus the cell to the left.
pascals triangle
a triangular array of the binomial coefficients
triangle
a flat geometric figure that has three sides and three angles
Example calculations for the Pascal-Floyd-Leibniz Triangle Calculator
  1. floyds triangle 6 rows
  2. 5 rows of pascal triangle
  3. leibniz 8 rows

Pascal-Floyd-Leibniz Triangle Calculator Video


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