Start with the triangle with 4 markings of the Shield tiling and recursively apply the substitution rule. a(n) is the number of triangles with 4 markings after n iterations.

A298682

Start with the triangle with 4 markings of the Shield tiling and recursively apply the substitution rule. a(n) is the number of triangles with 4 markings after n iterations.

Terms

    a(0) =1a(1) =2a(2) =4a(3) =8a(4) =28a(5) =92a(6) =352a(7) =1280a(8) =4828a(9) =17900a(10) =67024a(11) =249680a(12) =932716a(13) =3479132a(14) =12987904a(15) =48464288a(16) =180885628a(17) =675045452a(18) =2519361712a(19) =9402270320a(20) =35089981708a(21) =130957132220a(22) =488739595744

External references