Schröder, Joachim Delannoy and tetrahedral numbers. (English) Zbl 1199.05003 Commentat. Math. Univ. Carol. 48, No. 3, 389-394 (2007). Summary: We establish an identity between Delannoy numbers and tetrahedral numbers of arbitrary dimension. MSC: 05A10 Factorials, binomial coefficients, combinatorial functions 05A15 Exact enumeration problems, generating functions 05A19 Combinatorial identities, bijective combinatorics Keywords:Delannoy numbers; tetrahedral numbers; king’s walk; coordination number; crystal ball PDF BibTeX XML Cite \textit{J. Schröder}, Commentat. Math. Univ. Carol. 48, No. 3, 389--394 (2007; Zbl 1199.05003) Full Text: EuDML EMIS OpenURL