Statements (29)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
integer sequence
|
| gptkbp:application |
number theory
combinatorics approximating square roots |
| gptkbp:category |
gptkb:mathematics
number sequences |
| gptkbp:closedForm |
((1+√2)^n - (1-√2)^n)/(2√2)
|
| gptkbp:first_terms |
2
0 1 12 29 5 70 169 408 985 |
| gptkbp:growthForm |
exponential
|
| https://www.w3.org/2000/01/rdf-schema#label |
Pell numbers
|
| gptkbp:namedAfter |
gptkb:John_Pell
|
| gptkbp:nextTermFormula |
P(n+1) = 2*P(n) + P(n-1)
|
| gptkbp:OEIS |
A000129
|
| gptkbp:recurrence |
P(n) = 2*P(n-1) + P(n-2)
|
| gptkbp:relatedTo |
continued fractions
Pell equation |
| gptkbp:sequence |
Pell–Lucas numbers
linear recurrence |
| gptkbp:bfsParent |
gptkb:silver_ratio
|
| gptkbp:bfsLayer |
7
|