Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
integer sequence
automatic sequence |
| gptkbp:alphabet |
{0,1}
|
| gptkbp:definedIn |
t(n) = number of 1s in binary expansion of n, modulo 2
|
| gptkbp:discoveredIn |
1906
|
| gptkbp:first_terms |
0
1 |
| gptkbp:generalizes |
parity sequence
|
| gptkbp:hasApplication |
gptkb:music
dynamical systems quasicrystals |
| gptkbp:hasSubstitutionRule |
0→01, 1→10
|
| https://www.w3.org/2000/01/rdf-schema#label |
Thue–Morse sequence
|
| gptkbp:namedAfter |
gptkb:Marston_Morse
gptkb:Axel_Thue |
| gptkbp:OEIS |
A010060
|
| gptkbp:property |
aperiodic
self-similar cube-free overlap-free |
| gptkbp:recurrence |
t(0) = 0, t(2n) = t(n), t(2n+1) = 1 - t(n)
|
| gptkbp:relatedTo |
gptkb:paperfolding_sequence
Numeral system |
| gptkbp:usedIn |
theoretical computer science
combinatorics fractal geometry |
| gptkbp:bfsParent |
gptkb:Axel_Thue
|
| gptkbp:bfsLayer |
6
|