Matrix inverse of Euler's triangle A008292.

Terms

a(0) =1a(1) =-1a(2) =1a(3) =3a(4) =-4a(5) =1a(6) =-23a(7) =33a(8) =-11a(9) =1a(10) =425a(11) =-620a(12) =220a(13) =-26a(14) =1a(15) =-18129a(16) =26525a(17) =-9520a(18) =1180a(19) =-57a(20) =1a(21) =1721419a(22) =-2519664a(23) =905765a(24) =-113050a(25) =5649a(26) =-120a(27) =1a(28) =-353654167a(29) =517670461