a(n) is the largest coefficient of q-binomial(2*n, n) / q-binomial(n+1, 1), which are the q-Catalan polynomials.

A274882

a(n) is the largest coefficient of q-binomial(2*n, n) / q-binomial(n+1, 1), which are the q-Catalan polynomials.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =4a(6) =9a(7) =23a(8) =62a(9) =176a(10) =512a(11) =1551a(12) =4822a(13) =15266a(14) =49141a(15) =160728a(16) =532890a(17) =1785162a(18) =6039328a(19) =20617808a(20) =70951548a(21) =245911020a(22) =857888714a(23) =3010811846a(24) =10624583264a(25) =37680980256a(26) =134260382400a(27) =480440869030

External references