a(n) = binomial(2*p-1, p-1) modulo p^5, where p = prime(n).

Terms

a(0) =3a(1) =10a(2) =126a(3) =1716a(4) =30614a(5) =2198a(6) =1100513a(7) =713337a(8) =4635628a(9) =4511966a(10) =15729649a(11) =49285370a(12) =10820598a(13) =115444165a(14) =110571496a(15) =84562137a(16) =145202954a(17) =386548644a(18) =208729523a(19) =1232287574a(20) =790871562a(21) =2277840181a(22) =3525066856a(23) =4912928962a(24) =7258488370a(25) =8723558568a(26) =9006255935