{ "id": "0907.3168", "version": "v1", "published": "2009-07-17T22:40:10.000Z", "updated": "2009-07-17T22:40:10.000Z", "title": "Colorful Proofs of the Generating Formulas for Signed and Unsigned Stirling Numbers of the First Kind", "authors": [ "Paul Levande" ], "comment": "5 pages, 2 figures", "categories": [ "math.CO" ], "abstract": "We describe proofs of the standard generating formulas for unsigned and signed Stirling numbers of the first kind that follow from a natural combinatorial interpretation based on cycle-colored permutations.", "revisions": [ { "version": "v1", "updated": "2009-07-17T22:40:10.000Z" } ], "analyses": { "subjects": [ "05A15", "05A05", "05A19" ], "keywords": [ "unsigned stirling numbers", "first kind", "colorful proofs", "natural combinatorial interpretation", "standard generating formulas" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0907.3168L" } } }