The paper supplies combinatorial proofs of Tetranacci identities via square-and-domino tilings of hexagonal double-strips.
Waddill, Tetranacci Sequence and Generalizations , The Fi- bonacci Quarterly, 30.1 (1992), 9-19
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Tetranacci Identities With Squares, Dominoes, And Hexagonal Double-Strips
The paper supplies combinatorial proofs of Tetranacci identities via square-and-domino tilings of hexagonal double-strips.