G.f. A(x) satisfies: the sum of the coefficients of x^k, k=0..n, in A(x)^n equals Sum_{k=0..n} C(n,k)^3 = A000172(n) (Franel numbers), for n>=0.

A232687

G.f. A(x) satisfies: the sum of the coefficients of x^k, k=0..n, in A(x)^n equals Sum_{k=0..n} C(n,k)^3 = A000172(n) (Franel numbers), for n>=0.

Terms

    a(0) =1a(1) =1a(2) =3a(3) =7a(4) =20a(5) =66a(6) =244a(7) =980a(8) =4182a(9) =18674a(10) =86353a(11) =410541a(12) =1996214a(13) =9888844a(14) =49760925a(15) =253767097a(16) =1309154825a(17) =6822023553a(18) =35865392690a(19) =190038440422

External references