Coefficient of X^3 in the characteristic polynomial of the n-th power of the matrix M = {{1,1,1,1,1}, {1,0,0,0,0}, {0,1,0,0,0}, {0,0,1,0,0}, {0,0,0,1,0}}.

A123127

Coefficient of X^3 in the characteristic polynomial of the n-th power of the matrix M = {{1,1,1,1,1}, {1,0,0,0,0}, {0,1,0,0,0}, {0,0,1,0,0}, {0,0,0,1,0}}.

Terms

    a(0) =-1a(1) =-3a(2) =-4a(3) =1a(4) =49a(5) =-42a(6) =-57a(7) =-31a(8) =140a(9) =497a(10) =-815a(11) =-758a(12) =311a(13) =3021a(14) =3796a(15) =-13759a(16) =-7039a(17) =16086a(18) =45295a(19) =3681a(20) =-204684a(21) =-10431a(22) =365377a(23) =507914a(24) =-618001a(25) =-2642435a(26) =1427468a(27) =6214881a(28) =3341553a(29) =-16185322

External references