a(n) is the number of distinct (modulo geometric D3-operations) patterns which can be formed by an equilateral triangular arrangement of closely packed black and white cells satisfying the local matching rule of Pascal's triangle modulo 2, where n is the number of cells in each edge of the arrangement. The matching rule is such that any elementary top-down triangle of three neighboring cells in the arrangement contains either one or three white cells.
A060553
a(n) is the number of distinct (modulo geometric D3-operations) patterns which can be formed by an equilateral triangular arrangement of closely packed black and white cells satisfying the local matching rule of Pascal's triangle modulo 2, where n is the number of cells in each edge of the arrangement. The matching rule is such that any elementary top-down triangle of three neighboring cells in the arrangement contains either one or three white cells.
Terms
- a(0) =2a(1) =2a(2) =4a(3) =6a(4) =10a(5) =16a(6) =32a(7) =52a(8) =104a(9) =192a(10) =376a(11) =720a(12) =1440a(13) =2800a(14) =5600a(15) =11072a(16) =22112a(17) =43968a(18) =87936a(19) =175296a(20) =350592a(21) =700160a(22) =1400192a(23) =2798336a(24) =5596672a(25) =11188992a(26) =22377984a(27) =44747776a(28) =89495040a(29) =178973696
External references
- oeis: A060553