Interpolation::indep
ListInterpolation::indep
InterpolatingFunction::indep
An error occurs because Automatic is used for a derivative other than the highest specified derivative:
Interpolation[{{1, {1, 0, 0}}, {2, {3, 0, Automatic}}, {3, {5, Automatic, 0}}, {5, {1, 0, 0}}}]This shows a valid specification of derivatives in Interpolation:
Interpolation[{{1, {1, 0, 0}}, {2, {3, 0, Automatic}}, {3, {5, 0, Automatic}}, {5, {1, 0, 0}}}]