Derives explicit closed forms for minimal transfer costs in weighted Tower of Hanoi via matrix formulations of one- and two-largest-disc-move regimes, connecting one-LDM dynamics to Jacobsthal and Lichtenberg sequences and revealing phase transitions under forbidden moves.
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The Weighted Tower of Hanoi: Algebraic Structure, Phase Transitions, and Integer Sequences
Derives explicit closed forms for minimal transfer costs in weighted Tower of Hanoi via matrix formulations of one- and two-largest-disc-move regimes, connecting one-LDM dynamics to Jacobsthal and Lichtenberg sequences and revealing phase transitions under forbidden moves.