Matrix inverse of A008278, which is the reflected triangle of the Stirling numbers of 2nd kind.

Terms

a(0) =1a(1) =-1a(2) =1a(3) =2a(4) =-3a(5) =1a(6) =-9a(7) =15a(8) =-7a(9) =1a(10) =94a(11) =-160a(12) =80a(13) =-15a(14) =1a(15) =-2220a(16) =3790a(17) =-1915a(18) =375a(19) =-31a(20) =1a(21) =114456a(22) =-195461a(23) =98875a(24) =-19460a(25) =1652a(26) =-63a(27) =1a(28) =-12542341a(29) =21419587