The largest coefficients of the extended q-Catalan polynomials which are defined in A274886.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =1a(5) =2a(6) =1a(7) =5a(8) =2a(9) =12a(10) =4a(11) =32a(12) =9a(13) =94a(14) =23a(15) =289a(16) =62a(17) =910a(18) =176a(19) =2934a(20) =512a(21) =9686a(22) =1551a(23) =32540a(24) =4822a(25) =110780a(26) =15266a(27) =381676a(28) =49141a(29) =1328980