Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
integer sequence
|
| gptkbp:alsoKnownAs |
gptkb:Stern's_diatomic_series
|
| gptkbp:application |
number theory
combinatorics enumeration of positive rational numbers |
| gptkbp:definedIn |
a(0) = 0, a(1) = 1, a(2n) = a(n), a(2n+1) = a(n) + a(n+1)
|
| gptkbp:discoveredIn |
19th century
|
| gptkbp:first_terms |
2
0 1 3 4 |
| https://www.w3.org/2000/01/rdf-schema#label |
Stern–Brocot sequence
|
| gptkbp:namedAfter |
gptkb:Achille_Brocot
gptkb:Moritz_Abraham_Stern |
| gptkbp:OEIS |
gptkb:A002487
|
| gptkbp:property |
all positive rationals appear as a/b where a and b are consecutive terms
sequence is non-decreasing except for zeros at even indices a(n) is the number of ways to write n as a sum of powers of 2, each power used at most twice |
| gptkbp:relatedTo |
gptkb:Farey_sequence
continued fractions |
| gptkbp:usedIn |
construction of the Stern–Brocot tree
|
| gptkbp:bfsParent |
gptkb:Stern's_sequence
|
| gptkbp:bfsLayer |
7
|