Number of regions formed by infinite lines when connecting all vertices and all points that divide the sides of an equilateral triangle into n equal parts.

A343755

Number of regions formed by infinite lines when connecting all vertices and all points that divide the sides of an equilateral triangle into n equal parts.

Terms

    a(0) =7a(1) =30a(2) =144a(3) =474a(4) =1324a(5) =2934a(6) =5797a(7) =10614a(8) =17424a(9) =27480a(10) =41845a(11) =61602a(12) =85711a(13) =120120a(14) =159213a(15) =207798a(16) =269668a(17) =349272a(18) =434878a(19) =545496a(20) =661764a(21) =804582a(22) =973471a(23) =1174980a(24) =1374646a(25) =1631304a(26) =1908768a(27) =2218254a(28) =2560198a(29) =2976486

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