Geodesic
Lattice points in a circle whose distances from the center arein an arithmetic progression
Matematičeskie zametki, Tome 8 (1970) no. 6, pp. 787-798.

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An asymptotic formula is derived for the number of integral points in a circle, the squares of whose distances from the center of the circle belong to an arithmetic progression. 
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     author = {P. D. Varbanets},
     title = {Lattice points in a circle whose distances from the center arein an arithmetic progression},
     journal = {Matemati\v{c}eskie zametki},
     pages = {787--798},
     publisher = {mathdoc},
     volume = {8},
     number = {6},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1970_8_6_a12/}
}
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P. D. Varbanets. Lattice points in a circle whose distances from the center arein an arithmetic progression. Matematičeskie zametki, Tome 8 (1970) no. 6, pp. 787-798. http://geodesic.mathdoc.fr/item/MZM_1970_8_6_a12/