Sequences related to square and cube zig-zag shapes

• László Németh ^[1] ; László Szalay ^[1]
  1. [1] University of Sopron, Hungary
• Localización: Discrete Mathematics Days 2022 / coord. por Luis Felipe Tabera Alonso, 2022, ISBN 978-84-19024-02-2, págs. 318-323
• Idioma: inglés
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• Resumen

  • Considering a so-called square k-zig-zag shape as a part of the regular square grid as ak-zig-zag digraph, we give values to its vertices according to the number of the shortest pathsfrom a base vertex. It provides several integer sequences, whose higher-order homogeneousrecurrences are determined by the help of a special matrix recurrence. We also define aspecial zig-zag shape based on the spatial cube grid, and we give recurrence relation for oneof their digraph walk.