Triangle read by rows: T(0,0)=1; for n>=1 T(n,k) is the coefficient of x^k in the monic characteristic polynomial of the n X n band matrix with main diagonal 2,3,3,..., subdiagonal -3,-3,-3,..., sub-subdiagonal 1,1,1,... and superdiagonal -1,-1,-1,... (0<=k<=n).

A124019

Triangle read by rows: T(0,0)=1; for n>=1 T(n,k) is the coefficient of x^k in the monic characteristic polynomial of the n X n band matrix with main diagonal 2,3,3,..., subdiagonal -3,-3,-3,..., sub-subdiagonal 1,1,1,... and superdiagonal -1,-1,-1,... (0<=k<=n).

Terms

    a(0) =1a(1) =-2a(2) =1a(3) =3a(4) =-5a(5) =1a(6) =-4a(7) =15a(8) =-8a(9) =1a(10) =5a(11) =-35a(12) =36a(13) =-11a(14) =1a(15) =-6a(16) =70a(17) =-120a(18) =66a(19) =-14a(20) =1a(21) =7a(22) =-126a(23) =330a(24) =-286a(25) =105a(26) =-17a(27) =1a(28) =-8a(29) =210

External references