Provides a closed-form piecewise quadratic expression for the Frobenius number of shifted squares, obtained via combinatorial reduction, Lagrange's theorem, and generating functions.
Hujter, On the lowest value of the Frobenius number , Technical Report MN/31 Computer and Automation Inst., Hungarian Academy of Sciences
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Extends the stable property of Frobenius numbers to sequences A(a)=(a, ha+dB) yielding a congruence-class characterization of g(A(a)) mod bk for large a, plus explicit formulas for several B.
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On Frobenius Numbers of Shifted Power Sequences
Provides a closed-form piecewise quadratic expression for the Frobenius number of shifted squares, obtained via combinatorial reduction, Lagrange's theorem, and generating functions.
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The Frobenius Formula for $A=(a,ha+d,ha+b_2d,...,ha+b_kd)$
Extends the stable property of Frobenius numbers to sequences A(a)=(a, ha+dB) yielding a congruence-class characterization of g(A(a)) mod bk for large a, plus explicit formulas for several B.