Irregular triangle read by rows: universal linear relationships among polynomial means.

Terms

a(0) =1a(1) =-1a(2) =5a(3) =-6a(4) =1a(5) =1a(6) =-2a(7) =2a(8) =-1a(9) =2a(10) =-2a(11) =-1a(12) =1a(13) =77a(14) =-120a(15) =60a(16) =-20a(17) =3a(18) =1a(19) =-3a(20) =5a(21) =-5a(22) =3a(23) =-1a(24) =62a(25) =-75a(26) =-25a(27) =75a(28) =-60a(29) =23