Eigentriangle of (A007318)^(-1); row sums = A014182, exp(1-x-exp(-x)).

Terms

a(0) =1a(1) =-1a(2) =1a(3) =1a(4) =2a(5) =0a(6) =-1a(7) =3a(8) =0a(9) =-1a(10) =1a(11) =-4a(12) =0a(13) =4a(14) =1a(15) =-1a(16) =5a(17) =0a(18) =-10a(19) =-5a(20) =2a(21) =1a(22) =-6a(23) =0a(24) =20a(25) =15a(26) =-12a(27) =-9a(28) =-1a(29) =7