Sums of squared coefficients in the negative powers of the Catalan function: a(n) = Sum_{k=1..n+1} [x^(n-k+1)] 1/C(x^2)^k, where C(x) is the g.f. of A000108.

A132459

Sums of squared coefficients in the negative powers of the Catalan function: a(n) = Sum_{k=1..n+1} [x^(n-k+1)] 1/C(x^2)^k, where C(x) is the g.f. of A000108.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =5a(4) =11a(5) =18a(6) =30a(7) =45a(8) =101a(9) =171a(10) =483a(11) =702a(12) =2745a(13) =3406a(14) =21215a(15) =23237a(16) =202627a(17) =205701a(18) =2169260a(19) =2138431a(20) =24770064a(21) =24197219a(22) =294389605a(23) =286927242a(24) =3600713132a(25) =3508785697a(26) =45050653316a(27) =43916201874a(28) =574363373312

External references