Pell number
denominator of close rational approximation to the square root of 2
Press Enter · cited answer in seconds
0 sources
Pell number
Summary
Pell number is a Lucas sequence[1]. It draws 90 Wikipedia views per month (lucas_sequence category, ranking #3 of 4).[2]
Key Facts
- Pell number's image is recorded as Pell octagons.svg[3].
- Pell number's instance of is recorded as Lucas sequence[4].
- John Pell is named after Pell number[5].
- Pell number's subclass of is recorded as integer[6].
- Pell number's Freebase ID is recorded as /m/04w8mj[7].
- Pell number's OEIS ID is recorded as A000129[8].
- Pell number's defining formula is recorded as P_n=\frac{(1+\sqrt2)^n-(1-\sqrt2)^n}{2\sqrt2}= \begin{cases}0&n=0\1&n=1\2P_{n-1}+P_{n-2}&n>1\end{cases}[9].
- Pell number's BabelNet ID is recorded as 00557441n[10].
- Pell number's MathWorld ID is recorded as PellNumber[11].
- Pell number's maintained by WikiProject is recorded as WikiProject Mathematics[12].
- Pell number's Microsoft Academic ID is recorded as 138502949[13].
Why It Matters
Pell number draws 90 Wikipedia views per month (lucas_sequence category, ranking #3 of 4).[2] It has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.[14]