Geodesic
The number of self-dual types in finite-valued logics
Matematičeskie zametki, Tome 15 (1974) no. 4, pp. 631-639.

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We obtain the cycle indices of two groups of self-dual transformations of functions of an arbitrary finite-valued logic, and from them we derive explicit formulas for the number of types of functions relative to these groups. 
@article{MZM_1974_15_4_a14,
     author = {I. \`E. Strazdin'},
     title = {The number of self-dual types in finite-valued logics},
     journal = {Matemati\v{c}eskie zametki},
     pages = {631--639},
     publisher = {mathdoc},
     volume = {15},
     number = {4},
     year = {1974},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1974_15_4_a14/}
}
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I. È. Strazdin'. The number of self-dual types in finite-valued logics. Matematičeskie zametki, Tome 15 (1974) no. 4, pp. 631-639. http://geodesic.mathdoc.fr/item/MZM_1974_15_4_a14/