IDENTITIES INVOLVING THE TRIBONACCI NUMBERS SQUARED VIA TILING WITH COMBS
The number of ways to tile an n-board (an n×1 rectangular board) with (2112 ; 1)-, (2112 ; 2)-, and (2112 ; 3)-combs is Tn2+2, where Tn is the nth tribonacci number. A (2112 ; m)comb is a tile composed of m sub-tiles of dimensions 12 × 1 (with the shorter sides always horizontal) separated by gaps o...
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| Format: | Article |
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2023
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| Online Access: | https://repository.li.mahidol.ac.th/handle/123456789/88043 |
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| Institution: | Mahidol University |