Triangle of coefficients of characteristic polynomials of a special type of Cartan matrix: E_n for E_6,E_7,E_8,E_11 example M(6)/ E_6: {{2, -1, 0, 0, 0, 0}, {-1, 2, -1, 0, 0, 0}, {0, -1, 2, -1, 0, -1}, {0, 0, -1, 2, -1, 0}, {0, 0, 0, -1, 2, 0}, {0, 0, -1, 0, 0, 2}},.

A136600

Triangle of coefficients of characteristic polynomials of a special type of Cartan matrix: E_n for E_6,E_7,E_8,E_11 example M(6)/ E_6: {{2, -1, 0, 0, 0, 0}, {-1, 2, -1, 0, 0, 0}, {0, -1, 2, -1, 0, -1}, {0, 0, -1, 2, -1, 0}, {0, 0, 0, -1, 2, 0}, {0, 0, -1, 0, 0, 2}},.

Terms

    a(0) =1a(1) =2a(2) =-1a(3) =4a(4) =-4a(5) =1a(6) =6a(7) =-11a(8) =6a(9) =-1a(10) =5a(11) =-20a(12) =21a(13) =-8a(14) =1a(15) =4a(16) =-34a(17) =56a(18) =-36a(19) =10a(20) =-1a(21) =3a(22) =-52a(23) =125a(24) =-120a(25) =55a(26) =-12a(27) =1a(28) =2a(29) =-73

External references