Recurrence Relations for S -Legal Index Difference Sequences

Author:

Dantas E Moura Guilherme Zeus1,Keisling Andrew2,Lilly Astrid3,Mauro Annika4,Miller Steven J.5,Phang Matthew5,Iannuzzelli Santiago Velazquez6

Affiliation:

1. Department of Mathematics and Statistics, Haverford College, Haverford, PA19041 Email address: Email address:

2. Department of Mathematics, University of Michigan, Ann Arbor, MI48109 Email address:

3. Mathematics Department, Reed College, Portland, OR97202 Email address:

4. Department of Mathematics, Stanford University, Stanford, CA94305 Email address:

5. Department of Mathematics and Statistics, Williams College, Williamstown, MA01267 Email address:

6. Department of Mathematics, University of Pennsylvania, Philadelphia, PA19104 Email address:

Publisher

Informa UK Limited

Reference12 articles.

1. H. Alpert Differences of multiple Fibonacci numbers Integers 9 (2009) A57 745–749. https://www.emis.de/journals/INTEGERS/papers/j57/j57.pdf.

2. M. Catral P. L.Ford P. E.Harris S. J.Miller and D.Nelson Legal decomposition arising from nonpositive linear recurrences The Fibonacci Quarterly 54.4 (2016) 348–365 https://www.fq.math.ca/Papers1/54-4/CatFrdHarMilNel10202016.pdf.

3. Representation of natural numbers as sums of generalized Fibonacci numbers.;Daykin D. E.;The Fibonacci Quarterly,1969

4. Generalizing Zeckendorf's Theorem to f -decompositions

5. Corrigendum to “generalized Zeckendorf expansions”

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