Number of reduced words of length n in the alphabet {U,U^(-1),S,S^(-1)} that are equal to unity if U^3 = S^2 = 1.

A276409

Number of reduced words of length n in the alphabet {U,U^(-1),S,S^(-1)} that are equal to unity if U^3 = S^2 = 1.

Terms

    a(0) =1a(1) =0a(2) =2a(3) =2a(4) =6a(5) =24a(6) =44a(7) =136a(8) =298a(9) =914a(10) =2462a(11) =6464a(12) =17740a(13) =47840a(14) =133618a(15) =366162a(16) =1011190a(17) =2801144a(18) =7775916a(19) =21680712a(20) =60443514a(21) =168963010a(22) =472975278a(23) =1326349568a(24) =3725180524a(25) =10475012672a(26) =29494512354a(27) =83141905570a(28) =234634612198a(29) =662840458840

External references