Maximal number of regions obtained by joining n points around a circle by straight lines. Also number of regions in 4-space formed by n-1 hyperplanes.

A000127

Maximal number of regions obtained by joining n points around a circle by straight lines. Also number of regions in 4-space formed by n-1 hyperplanes.

Terms

    a(0) =1a(1) =2a(2) =4a(3) =8a(4) =16a(5) =31a(6) =57a(7) =99a(8) =163a(9) =256a(10) =386a(11) =562a(12) =794a(13) =1093a(14) =1471a(15) =1941a(16) =2517a(17) =3214a(18) =4048a(19) =5036a(20) =6196a(21) =7547a(22) =9109a(23) =10903a(24) =12951a(25) =15276a(26) =17902a(27) =20854a(28) =24158a(29) =27841

External references