Hello again,
Ok good, it looks like you've nailed it. I get slightly different results (111mH) but that's close. You did use 38600Hz for series resonance right?
What i did was i tried to follow their logic in it's entirety. All they seem to be doing is trying to calculate the internal values from external measured data. They measured impedance, and given that and the theoretical circuit they attempt to calculate the individual internal values for the four elements.
I had to guess a little at the impedance because it's not very readable on the data sheet for some reason, but it looks like they are stating a measurement of 362 ohms at -22.8 degrees, but verification of that would be nice.
Using that data and knowing the series R and using the assumed values of 2430pf and 153.4pf and L=111.2mH, the magnitude of the impedance comes out to 357 ohms which i believe is close enough.
As shown in the diagram, to get a phase angle of -22.8 degrees or so we have to have either of those two inductance values where the (red) -22.8 degree line intersects the angles for all L. For series resonance however only the lower L value works.