  It is well known how the linking number and framing can be extracted from the
degree 1 part of the (framed) Kontsevich integral. This note gives a general
formula expressing any product of powers of these two invariants as combination
of coefficients in the Kontsevich integral. This allows in particular to
express the sum of all coefficients of a given degree in terms of the linking
coefficients. The proofs are purely combinatorial.
