a(n) = binomial(n, n/2 - 1/4 + (-1)^n/4)*hypergeom([-n/4 - 1/8 + (-1)^n/8, -n/4 + 3/8 + (-1)^n/8], [n/2 + 7/4 + (-1)^n/4], 4).

A344394

a(n) = binomial(n, n/2 - 1/4 + (-1)^n/4)*hypergeom([-n/4 - 1/8 + (-1)^n/8, -n/4 + 3/8 + (-1)^n/8], [n/2 + 7/4 + (-1)^n/4], 4).

Terms

    a(0) =1a(1) =1a(2) =2a(3) =5a(4) =9a(5) =25a(6) =44a(7) =133a(8) =230a(9) =726a(10) =1242a(11) =4037a(12) =6853a(13) =22737a(14) =38376a(15) =129285a(16) =217242a(17) =740554a(18) =1239980a(19) =4266830a(20) =7123765a(21) =24701425a(22) =41141916a(23) =143567173a(24) =238637282a(25) =837212650a(26) =1389206210a(27) =4896136845a(28) =8112107475a(29) =28703894775

External references