Coefficients of even-indexed Euler polynomials (falling powers without zeros).

Terms

a(0) =1a(1) =1a(2) =-1a(3) =1a(4) =-2a(5) =1a(6) =1a(7) =-3a(8) =5a(9) =-3a(10) =1a(11) =-4a(12) =14a(13) =-28a(14) =17a(15) =1a(16) =-5a(17) =30a(18) =-126a(19) =255a(20) =-155a(21) =1a(22) =-6a(23) =55a(24) =-396a(25) =1683a(26) =-3410a(27) =2073a(28) =1a(29) =-7