Triangle read by rows: matrix inverse of the central factorial numbers T(2*n, 2*k) (A036969).

Terms

a(0) =1a(1) =-1a(2) =1a(3) =4a(4) =-5a(5) =1a(6) =-36a(7) =49a(8) =-14a(9) =1a(10) =576a(11) =-820a(12) =273a(13) =-30a(14) =1a(15) =-14400a(16) =21076a(17) =-7645a(18) =1023a(19) =-55a(20) =1a(21) =518400a(22) =-773136a(23) =296296a(24) =-44473a(25) =3003a(26) =-91a(27) =1a(28) =-25401600a(29) =38402064