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Player 2's eventual winning-strategy conjecture for the Tribonacci Game
Consider the Tribonacci Game played for an integer $n$ , with Player 1 and Player 2 taking turns according to the game's rules. Player 2's eventual winning-strategy conjecture. Play…
Conjectureopencombinatorial-games tribonacci-numbers zeckendorf-representationsarXiv posted 2 days ago
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Deterministic Game is Best for Tribonacci
Let the Tribonacci game be the game on representations of an integer in which legal moves are those prescribed by the Tribonacci recurrence, and let the deterministic game be the g…
Conjectureopencombinatorial-games tribonacci-numbers zeckendorf-representationsarXiv posted 2 days ago
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Conjecture on the relation between the Tribonacci convolution coefficients $A_1^{(2n)}$ and $A_2^{(n)}$
Relation conjecture. For every integer $n\geq 1$ ,
Conjectureopenconvolution-identities tribonacci-numbersarXiv posted 2 days ago

Player 2's eventual winning-strategy conjecture for the Tribonacci Game