Sequence of 2 Metamorphoses

The only possibility is 04 (40 being the same sequence starting on 4 rather than on 0).

The 40 sequence
If we start on the TONIC C⁶ chord, which changes (with 4) to Am⁷,
     the next would be Dm⁶ (which remains the same with 0),
then back to Am⁷, which changes (with 4) to C⁶,
     then G⁷ (which remains the same with 0),
and back to the original C⁶, producing a 4-chord sequence,
     composed of C⁶Am⁷ - Dm⁶ / Am⁷C⁶ - G⁷, which repeats indefinitely,
          a wide swing in which we jump with the Metamorphosis 4 rather than progress normally.

     To see the Voice-leading

Sequence of 3 Metamorphoses

There are 2 possibilities here - 044 and 004
     (all other combinations being the result of starting elsewhere)

The 440 sequence
If we start on the F⁶ COUNTER chord, which changes (with 4) to Dm⁷,
the next would be G⁶ which changes (with 4) to Em⁷,
     then Am^-6 (which remains the same with 0),
then back to Em⁷, which changes (with 4) to G⁶,
then Dm⁷ which changes (with 4) to F⁶,
     then C⁺⁷ (which remains the same with 0),
and back to the original F⁶, producing a 6-chord sequence,
     composed of F⁶Dm⁷ - G⁶Em⁷ - Am^-6 / Em⁷G⁶ - Dm⁷F⁶ - C⁺⁷, which repeats indefinitely,
          a very wide swing from F⁶ to Em⁷ in which we jump with Metamorphosis 4 rather than progress normally.

     To see the Voice-leading

The 400 sequence
If we start on the C⁶ TONIC chord, which changes (with 4) to Am⁷,
     the next would be Dm⁶ (which remains the same with 0),
     then back to Am⁷ (which also remains the same with 0),
and back to Dm⁶, which changes (with 4) to Bm^7-5,
     then Em^-6 (which remains the same with 0),
     then back to Bm^7-5 (which also remains the same with 0),
and back to Em^-6, which changes (with 4) to C⁺⁷
     then F⁶ (which remains the same with 0),
     then back to C⁺⁷ (which also remains the same with 0),
and back to F⁶, which changes (with 4) to Dm⁷
     then G⁶ (which remains the same with 0),
     then back to Dm⁷ (which also remains the same with 0),
and back to G⁶, which changes (with 4) to Em⁷
     then Am^-6 (which remains the same with 0),
     then back to Em⁷ (which also remains the same with 0),
and back to Am^-6, which changes (with 4) to F⁺⁷
     then Bm^-6-5 (which remains the same with 0),
     then back to F⁺⁷ (which also remains the same with 0),
and back to Bm^-6-5, which changes (with 4) to G⁷
     then C⁶ (which remains the same with 0),
     then back to G⁷ (which also remains the same with 0),
then C, chord of rest, producing a 22-chord sequence,
     composed of C⁶Am⁷ - Dm⁶ - Am⁷ / Dm⁶Bm^7-5 - Em^-6 - Bm^7-5 / Em^-6C⁺⁷ - F⁶ - C⁺⁷ / F⁶Dm⁷ - G⁶ - Dm⁷ /
          G⁶Em⁷ - Am^-6 - Em⁷ / Am^-6F⁺⁷ - Bm^-6-5 - F⁺⁷ / Bm^-6-5G⁷ - C⁶ - G⁷ / C,
               a circle, several in fact, which progress in a scale-like order with 2-fifth strides,
                    with short Swing "loops" at the end of each bar.

     To see the Voice-leading

Sequence of 4 Metamorphoses

There are 3 possibilities here - 0444, 0004, and 0044
     (all other combinations being the result of starting elsewhere).

The 4440 sequence

The 4000 sequence

The 4004 sequence
If we start on the C⁶ TONIC chord, which changes (with 4) to Am⁷,
     the next would be Dm⁶ (which remains the same with 0),
     then back to Am⁷ (which also remains the same with 0),
then back again to Dm⁶ which changes (with 4) to Bm^7-5,
the next would be Em^-6 which changes (with 4) to C⁺⁷,
     the next would be F⁶ (which remains the same with 0),
     then back to C⁺⁷ (which also remains the same with 0),
then back again to F⁶ which changes (with 4) to Dm⁷,
the next would be G⁶ which changes (with 4) to Em⁷,
     the next would be Am^-6 (which remains the same with 0),
     then back to Em⁷ (which also remains the same with 0),
then back again to Am^-6 which changes (with 4) to F⁺⁷,
the next would be Bm^-6-5 which changes (with 4) to G⁷,
     the next would be C⁶ (which remains the same with 0),
     then back to G⁷ (which also remains the same with 0),
then C, chord of rest, producing a 16-chord sequence,
     composed of C⁶Am⁷ - Dm⁶ - Am⁷ / Dm⁶Bm^7-5 - Em^-6C⁺⁷ - F⁶ - C⁺⁷ / F⁶Dm⁷ -
                         G⁶Em⁷ - Am^-6 - Em⁷ / Am^-6F⁺⁷ - Bm^-6-5G⁷ - C⁶ - G⁷ / C,
               another circle which progresses in a scale-like order with 2-fifth strides,
                    with short Swing "loops" at the end of each bar.

     To see the Voice-leading