Pascal Triangle Row Calculator
Math
Pascal Triangle Row with stated conventions, validation and a worked example.
Formula
C(n,0)=1; C(n,k+1)=C(n,k)(n−k)/(k+1)
- Use the units shown beside each field.
- Results update automatically whenever you change an input.
- Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
- Exact integer coefficients; rows 0–200.
Example Calculation
Example inputs
- Row n (zero-based): 5
Zero-based row5 contains 1,5,10,10,5,1.
Frequently asked questions
How do I use this calculator?
Enter row n (zero-based). The result updates automatically. Use Reset to restore the example values.
What method does it use?
C(n,0)=1; C(n,k+1)=C(n,k)(n−k)/(k+1). Exact integer coefficients; rows 0–200.
Why might a rounded result differ?
The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.
Are my inputs saved online?
No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.
Check the assumptions and units before using this result. Read about calculation methods.