N[%33,222]

(* above is d0,7 *)

N[%37,222]

(* above is d1,7 *)

N[%40,222]

(* above is d2,7 *)

N[%43,222]

(* above is d3,7 *)

N[%46,222]

(* above is d4,7 *)

N[%49,222]

(* above is d5,7 *)

N[%52,222]

(* above is d6,7 *)

N[%54,222]

(* above is d7,7 *)

N[%58,222]

(* above is the maximum of the k=3rd derivative at x = 1, provided the 4-th derivative vanishes there  *)

(* Division of 946.8583711868191324... by the third deivative of T7, evaluated at x = 1, i.e (D[ChebyshevT[7,x],{x,3}])/.x->1 = 7056   gives the diminishing constant M7,3  *)

N[%60,222]

(* above is the diminishing constant M7,3 *)