Visa källa för Mian–Chowlas följd

Inom [[matematik]]en är '''Mian–Chowlas följd''' en [[heltalsföljd]] definierad på följande vis. Följden börjar med

:<math>a_1 = 1.</math> 

Sedan är för <math> n>1</math> <math>a_n</math> det minsta positiva heltalet så att de parvisa summorna

:<math>a_i + a_j</math> 

är skilda för alla <math>i</math> and <math>j</math> mindre eller lika stora som <math>n</math>.

De första talen i talföljden är:

:[[1 (tal)|1]], [[2 (tal)|2]], [[4 (tal)|4]], [[8 (tal)|8]], [[13 (tal)|13]], [[21 (tal)|21]], [[31 (tal)|31]], [[45 (tal)|45]], [[66 (tal)|66]], [[81 (tal)|81]], [[97 (tal)|97]], [[123 (tal)|123]], [[148 (tal)|148]], [[182 (tal)|182]], [[204 (tal)|204]], [[252 (tal)|252]], [[290 (tal)|290]], [[361 (tal)|361]], [[401 (tal)|401]], [[475 (tal)|475]], [[565 (tal)|565]], [[593 (tal)|593]], [[662 (tal)|662]], [[775 (tal)|775]], [[822 (tal)|822]], [[916 (tal)|916]], [[970 (tal)|970]], [[1016 (tal)|1016]], [[1159 (tal)|1159]], [[1312 (tal)|1312]], [[1395 (tal)|1395]], [[1523 (tal)|1523]], [[1572 (tal)|1572]], [[1821 (tal)|1821]], [[1896 (tal)|1896]], [[2029 (tal)|2029]], [[2254 (tal)|2254]], [[2379 (tal)|2379]], [[2510 (tal)|2510]], [[2780 (tal)|2780]], [[2925 (tal)|2925]], [[3155 (tal)|3155]], [[3354 (tal)|3354]], [[3591 (tal)|3591]], [[3797 (tal)|3797]], [[3998 (tal)|3998]], [[4297 (tal)|4297]], [[4433 (tal)|4433]], [[4779 (tal)|4779]], [[4851 (tal)|4851]], … {{OEIS|id=A005282}}

Följden upptäcktes av [[Abdul Majid Mian]] och [[Sarvadaman Chowla]].

== Källor ==
* {{Enwp|url=//en.wikipedia.org/w/index.php?title=Mian%E2%80%93Chowla_sequence&oldid=551316618|artikel=Mian–Chowla sequence|datum=14 april 2014}}
* S. R. Finch, ''Mathematical Constants'', Cambridge (2003): Section 2.20.2
* R. K. Guy ''Unsolved Problems in Number Theory'', New York: Springer (2003)

[[Kategori:Heltalsföljder]]