a(n) = Sum_{k=0..n} binomial(n, k)^2 * hypergeom([(k-n)/2, (k-n+1)/2], [k+2], 4).

A344502

a(n) = Sum_{k=0..n} binomial(n, k)^2 * hypergeom([(k-n)/2, (k-n+1)/2], [k+2], 4).

Terms

    a(0) =1a(1) =2a(2) =7a(3) =29a(4) =128a(5) =587a(6) =2759a(7) =13190a(8) =63844a(9) =311948a(10) =1535488a(11) =7602971a(12) =37829455a(13) =188989166a(14) =947399951a(15) =4763280965a(16) =24009574400a(17) =121291129748a(18) =613939110308

External references