IDENTITIES INVOLVING THE TRIBONACCI NUMBERS SQUARED VIA TILING WITH COMBS

• المؤلف الرئيسي: Allen M.A.
• مؤلفون آخرون: Mahidol University
• التنسيق: مقال
• منشور في: 2023
• الموضوعات: Mathematics
• الوصول للمادة أونلاين: https://repository.li.mahidol.ac.th/handle/123456789/88043

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...