First row of Modified Schroeder numbers for q=3 (A114292).

Terms

a(0) =1a(1) =1a(2) =2a(3) =5a(4) =16a(5) =57a(6) =224a(7) =934a(8) =4092a(9) =18581a(10) =86888a(11) =415856a(12) =2029160a(13) =10061161a(14) =50568680a(15) =257129888a(16) =1320619176a(17) =6842177174a(18) =35722456976a(19) =187772944964a(20) =992991472328